Isoselective polymerization of epoxides

ABSTRACT

The present invention provides novel bimetallic complexes and methods of using the same in the isoselective polymerization of epoxides. The invention also provides methods of kinetic resolution of epoxides. The invention further provides polyethers with high enantiomeric excess that are useful in applications ranging from consumer goods to materials.

CROSS REFERENCE TO RELATED APPLICATIONS

The present application is a continuation of International PatentApplication No. PCT/US08/73530, filed Aug. 18, 2008, which claimspriority to U.S. Provisional Patent Application Ser. No. 60/935,529,filed Aug. 17, 2007, the entirety of each of which is herebyincorporated by reference.

BACKGROUND OF THE INVENTION

Enantiomerically pure polymers are valuable due to their opticallyactive properties for uses ranging from materials science to syntheticorganic chemistry. These polymers can be prepared by the polymerizationof enantiomerically pure monomers. However, most enantiomerically puremonomers are difficult and/or expensive to prepare compared to theirracemic counterparts, such that polymerization of enantiometically puremonomers is not a realistic option.

Some efforts have been made to develop enantioselective methods forpreparing enantiomerically pure polymers. Specifically, Furukawa andco-workers (Tsuruta, Teiji; Inoue, Shohei; Yoshida, Norimasa; Furukawa,Junji., Makromolekulare Chemie (1962), 55, 230-1; Inoue, Shohei;Tsuruta, Teiji; Furukawa, Junji., Makromol (1962), 215-18) havedescribed the enantioselective polymerization of racemic propylene oxide(PO) with catalysts consisting of ZnEt₂ and enantiomerically purealcohols such as (+)-borneol. This system produces optically activecrystalline poly(PO) and enantio-enriched PO with a selectivity factor(k_(rel)=k_(fast)/k_(slow)) of 1.5. Since this discovery, numerouscombinations of alkyl metals and chiral alcohols have been evaluated forthe enantioselective polymerization of PO. However, no catalyst has beenidentified that demonstrates high enantioselectivity in this reaction.

SUMMARY OF THE INVENTION

The present invention encompasses the recognition that the isoselectivepolymerization of epoxides is useful for providing isotactic orenantiopure polyethers. In certain embodiments, the present inventionprovides bimetallic complexes for the isoselective polymerization ofepoxides.

According to one aspect, the present disclosure provides a bimetalliccomplex of formula I:

wherein:

-   -   M is a metal atom;    -   X is a nucleophile;    -   n is an integer from 0 to 2, inclusive each occurrence of L¹,        L², Y¹, and Y² is independently —O—, —P(R′)₂—, ═NR′—, or        —N(R)₂—;    -   each occurrence of

-   -    is an optionally substituted moiety selected from the group        consisting of C₂₋₁₂ aliphatic, C₇₋₁₂ arylalkyl; 6-10-membered        aryl; 5-10-membered heteroaryl having 1-4 heteroatoms        independently selected from nitrogen, oxygen, or sulfur; and        4-7-membered heterocyclic having 1-2 heteroatoms independently        selected from the group consisting of nitrogen, oxygen, and        sulfur;    -   each occurrence of

-   -    is an optionally substituted moiety selected from the group        consisting of C₇₋₁₂ arylalkyl; 6-10-membered aryl; and        5-10-membered heteroaryl having 1-4 heteroatoms independently        selected from nitrogen, oxygen, or sulfur;    -   represents a single bond directly attached to an aryl or        heteroaryl ring of each

-   -   each occurrence of R′ is hydrogen or an optionally substituted        moiety selected from the group consisting of a C₃-C₁₄        carbocycle, a C₆-C₁₀ aryl group, a C₃-C₁₄ heterocycle, and a        C₅-C₁₀ heteroaryl group; or an optionally substituted C₂₋₂₀        aliphatic group, wherein one or more methylene units are        optionally and independently replaced by —NR^(y)—,        —N(R^(y))C(O)—, —C(O)N(R^(y))—, —OC(O)N(R^(y))—,        —N(R^(y))C(O)O—, —OC(O)O—, —O—, —C(O)—, —OC(O)—, —C(O)O—, —S—,        —SO—, —SO₂—, —C(═S)—, —C(═NR^(y))—, —C(═NOR^(y))— or —N═N—; or        -   two R′ are taken together with their intervening atoms to            form a monocyclic or bicyclic 5-12-membered ring;    -   wherein a substituent may comprise one or more organic cations;        and    -   each occurrence of R^(y) is independently hydrogen or an        optionally substituted C₁₋₆ aliphatic group.

According to one aspect, the present invention provides a polymer offormula:

wherein:

-   -   R^(a) is an optionally substituted group selected from the group        consisting of C₁₋₁₂ aliphatic; C₁₋₁₂ heteroaliphatic having 1-4        heteroatoms independently selected from the group consisting of        nitrogen, oxygen, and sulfur; 6-10-membered aryl; 5-10-membered        heteroaryl having 1-4 heteroatoms independently selected from        nitrogen, oxygen, or sulfur; and 4-7-membered heterocyclic        having 1-2 heteroatoms independently selected from the group        consisting of nitrogen, oxygen, and sulfur; and    -   each of R^(b) and R^(c) is independently hydrogen or an        optionally substituted group selected from the group consisting        of C₁₋₁₂ aliphatic; C₁₋₁₂ heteroaliphatic having 1-4 heteroatoms        independently selected from the group consisting of nitrogen,        oxygen, and sulfur; 6-10-membered aryl; 5-10-membered heteroaryl        having 1-4 heteroatoms independently selected from nitrogen,        oxygen, or sulfur; and 4-7-membered heterocyclic having 1-2        heteroatoms independently selected from the group consisting of        nitrogen, oxygen, and sulfur; and    -   wherein any of (R^(a) and R^(c)), (R^(b) and R^(c)), and (R^(a)        and R^(b)) can be taken together with their intervening atoms to        form one or more rings selected from the group consisting of:        optionally substituted C₃-C₁₄ carbocycle, optionally substituted        C₃-C₁₄ heterocycle, optionally substituted C₆-C₁₀ aryl, and        optionally substituted C₅-C₁₀ heteroaryl.

According to one aspect, the present invention provides a method ofpolymerization, the method comprising:

-   -   a) providing a prochiral epoxide of formula:

wherein:

-   -   R^(a) is an optionally substituted group selected from the group        consisting of C₁₋₁₂ aliphatic; C₁₋₁₂ heteroaliphatic having 1-4        heteroatoms independently selected from the group consisting of        nitrogen, oxygen, and sulfur; 6-10-membered aryl; 5-10-membered        heteroaryl having 1-4 heteroatoms independently selected from        nitrogen, oxygen, or sulfur; and 4-7-membered heterocyclic        having 1-2 heteroatoms independently selected from the group        consisting of nitrogen, oxygen, and sulfur; and    -   each of R^(b) and R^(c) is independently hydrogen or an        optionally substituted group selected from the group consisting        of C₁₋₁₂ aliphatic; C₁₋₁₂ heteroaliphatic having 1-4 heteroatoms        independently selected from the group consisting of nitrogen,        oxygen, and sulfur; 6-10-membered aryl; 5-10-membered heteroaryl        having 1-4 heteroatoms independently selected from nitrogen,        oxygen, or sulfur; and 4-7-membered heterocyclic having 1-2        heteroatoms independently selected from the group consisting of        nitrogen, oxygen, and sulfur;    -   wherein any of (R^(a) and R^(c)), (R^(b) and R^(c)), and (R^(a)        and R^(b)) can be taken together with their intervening atoms to        form one or more rings selected from the group consisting of:        -   optionally substituted C₃-C₁₄ carbocycle, optionally            substituted C₃-C₁₄ heterocycle,        -   optionally substituted C₆-C₁₀ aryl, and optionally            substituted C₅-C₁₀ heteroaryl; and    -   b) treating the epoxide with a bimetallic catalyst under        suitable conditions to form a polymer of formula:

In certain embodiments, the method further comprises the step ofrecovering unreacted epoxide, wherein the recovered epoxide isenantiomerically enriched.

According to one aspect, the present disclosure provides materialssuitable for food packaging, electronics, consumer goods, chiralchromatographic media, polymeric reagents, and polymeric catalysts, thematerials comprising a provided polymer as described herein. In certainembodiments, the material is oil resistant. In certain embodiments, thematerial is a film. In some embodiments, the material is extruded. Insome embodiments, the material is thermoformed.

BRIEF DESCRIPTION OF THE DRAWINGS

FIG. 1 depicts the a parameter of an enantiopure catalyst.

FIG. 2 depicts the calculation of ee_((p)) for PPO by ¹³C NMRSpectroscopy. (a) Separate integration of mr and rm peaks. (b)Integration using rr triad peak.

FIG. 3 depicts the ¹³C NMR spectra of PPO. a) Full spectrum. b) Methinecarbon.

FIG. 4 depicts the ¹³C NMR spectra of PBO. a) Full spectrum. b) Methinecarbon.

FIG. 5 depicts the ¹³C NMR spectra of PHO. a) Full spectrum. b) Methinecarbon.

FIG. 6 depicts the ¹³C NMR spectra of Poly(Ethyl Glycidyl Ether). a)Full spectrum. b) Methine carbon.

FIG. 7 depicts the ¹³C NMR spectra of Poly(n-Butyl Glycidyl Ether). a)Full spectrum. b) Methine carbon.

FIG. 8 depicts the ¹³C NMR spectra of Poly(Allyl Glycidyl Ether). a)Full spectrum. b) Methine carbon.

FIG. 9 depicts the ¹³C NMR spectra of Poly(Furfuryl Glycidyl Ether). a)Full spectrum. b) Methine carbon.

FIG. 10 depicts the ¹³C NMR spectra of Poly(3,4-Epoxy-1-Butene). a) FullSpectrum. b) Methylene carbon.

FIG. 11 depicts the ¹³C NMR spectra of Poly(5,6-Epoxy-1-Hexene). a) Fullspectrum. b) Methine carbon.

FIG. 12 depicts the ¹³C NMR spectra of Poly(Styrene Oxide). a) Fullspectrum. b) Methine carbon.

FIG. 13 depicts the ¹³C NMR spectra of Poly(2-(4-Chlorophenyl)-Oxirane).a) Full spectrum. b) Methine carbon.

FIG. 14 depicts the ¹³C NMR spectra ofPoly(1,1,1-Trifluoro-2,3-Epoxypropane). a) Full spectrum. b) Methylenecarbon.

FIG. 15 depicts the ¹³C NMR spectra of PPO. a) Full spectrum. b) Methinecarbon.

FIG. 16 depicts the ¹³C NMR spectra of PBO. a) Full spectrum. Note:residual toluene is present in the spectrum. b) Methine carbon.

FIG. 17 depicts the ¹³C NMR spectra of PHO. a) Full spectrum. b) Methinecarbon.

FIG. 18 depicts the ¹³C NMR spectra of Poly(3,4-Epoxy-1-Butene). a) Fullspectrum. b) Methylene carbon.

FIG. 19 depicts the ¹³C NMR spectra of Poly(n-Butyl Glycidyl Ether). a)Full spectrum. b) Methine carbon.

FIG. 20 depicts the ¹³C NMR spectra of Poly(Allyl Glycidyl Ether). a)Full spectrum. b) Methine carbon.

FIG. 21 depicts the ¹³C NMR spectra of Poly(tert-Butyl-dimethylsilylGlycidyl Ether). a) Full spectrum. b) Methine carbon.

FIG. 22 depicts the ¹³C NMR spectra of Poly(Phenyl Glycidyl Ether). a)Full spectrum. b) Methine carbon.

FIG. 23 depicts the ¹³C NMR spectra of Poly(2,3-epoxypropyl benzoate).a) Full spectrum. Note: peaks from residual toluene present in thespectrum. b) Methylene carbon.

FIG. 24 depicts the ¹³C NMR spectra of Poly(Allyl Oxiran-2-ylmethylCarbonate). a) Full spectrum. b) Methine carbon.

FIG. 25 depicts the ¹³C NMR spectra of Poly(Styrene Oxide). a) Fullspectrum. b) Ortho carbon.

FIG. 26 depicts the ¹³C NMR spectra of Poly(2-(4-Fluorophenyl)-oxirane).a) Full spectrum. Note: residual toluene peaks present. b) Methinecarbon.

FIG. 27 depicts the ¹³C NMR spectra ofPoly(1,1,1-Trifluoro-2,3-epoxypropane). a) Full spectrum. b) Methylenecarbon.

DEFINITIONS

Definitions of specific functional groups and chemical terms aredescribed in more detail below. For purposes of this invention, thechemical elements are identified in accordance with the Periodic Tableof the Elements, CAS version, Handbook of Chemistry and Physics, 75^(th)Ed., inside cover, and specific functional groups are generally definedas described therein. Additionally, general principles of organicchemistry, as well as specific functional moieties and reactivity, aredescribed in Organic Chemistry, Thomas Sorrell, University ScienceBooks, Sausalito, 1999; Smith and March March's Advanced OrganicChemistry, 5^(th) Edition, John Wiley & Sons, Inc., New York, 2001;Larock, Comprehensive Organic Transformations, VCH Publishers, Inc., NewYork, 1989; Carruthers, Some Modern Methods of Organic Synthesis, 3^(rd)Edition, Cambridge University Press, Cambridge, 1987; the entirecontents of each of which are incorporated herein by reference.

Certain compounds of the present invention can comprise one or moreasymmetric centers, and thus can exist in various stereoisomeric forms,e.g., enantiomers and/or diastereomers. Thus, inventive compounds andcompositions thereof may be in the form of an individual enantiomer,diastereomer or geometric isomer, or may be in the form of a mixture ofstereoisomers. In certain embodiments, the compounds of the inventionare enantiopure compounds. In certain other embodiments, mixtures ofenantiomers or diastereomers are provided.

Furthermore, certain compounds, as described herein may have one or moredouble bonds that can exist as either a Z or E isomer, unless otherwiseindicated. The invention additionally encompasses the compounds asindividual isomers substantially free of other isomers andalternatively, as mixtures of various isomers, e.g., racemic mixtures ofenantiomers. In addition to the above-mentioned compounds per se, thisinvention also encompasses compositions comprising one or morecompounds.

As used herein, the term “axial chirality”, refers to chirality in whicha molecule, or a portion thereof, does not possess a stereogenic centerbut has an axis of chirality about which a set of substituents is heldin a spatial arrangement that is not superimposable on its mirror image.Axial chirality may be observed, for example, in atropisomeric biarylcompounds where the rotation about the aryl-aryl bond is restricted. Itwill be appreciated that a compound of the present invention may possessaxial chirality whether or not other stereogenic centers are presentelsewhere in the molecule.

As used herein, the term “isomers” includes any and all geometricisomers and stereoisomers. For example, “isomers” include cis andtrans-isomers, E and Z isomers, R and S-enantiomers, diastereomers,(D)-isomers, (L)-isomers, racemic mixtures thereof, and other mixturesthereof, as falling within the scope of the invention. For instance, acompound may, in some embodiments, be provided substantially free of oneor more corresponding stereoisomers, and may also be referred to as“stereochemically enriched.”

Where a particular enantiomer is preferred, it may, in some embodimentsbe provided substantially free of the opposite enantiomer, and may alsobe referred to as “optically enriched.” “Optically enriched,” as usedherein, means that the compound is made up of a significantly greaterproportion of one enantiomer. In certain embodiments the compound ismade up of at least about 90% by weight of an enantiomer. In someembodiments the compound is made up of at least about 95%, 97%, 98%,99%, 99.5%, 99.7%, 99.8%, or 99.9% by weight of an enantiomer. In someembodiments the enantiomeric excess of provided compounds is at leastabout 90%, 95%, 97%, 98%, 99%, 99.5%, 99.7%, 99.8%, or 99.9%. In someembodiments, enantiomers may be isolated from racemic mixtures by anymethod known to those skilled in the art, including chiral high pressureliquid chromatography (HPLC) and the formation and crystallization ofchiral salts or prepared by asymmetric syntheses. See, for example,Jacques, et al., Enantiomers, Racemates and Resolutions (WileyInterscience, New York, 1981); Wilen, S. H., et al., Tetrahedron 33:2725(1977); Eliel, E. L. Stereochemistry of Carbon Compounds (McGraw-Hill,NY, 1962); Wilen, S. H. Tables of Resolving Agents and OpticalResolutions p. 268 (E. L. Eliel, Ed., Univ. of Notre Dame Press, NotreDame, Ind. 1972).

The terms “halo” and “halogen” as used herein refer to an atom selectedfrom fluorine (fluoro, —F), chlorine (chloro, —Cl), bromine (bromo,—Br), and iodine (iodo, —I).

The term “aliphatic” or “aliphatic group”, as used herein, denotes ahydrocarbon moiety that may be straight-chain (i.e., unbranched),branched, or cyclic (including fused, bridging, and spiro-fusedpolycyclic) and may be completely saturated or may contain one or moreunits of unsaturation, but which is not aromatic. Unless otherwisespecified, aliphatic groups contain 1-30 carbon atoms. In certainembodiments, aliphatic groups contain 1-12 carbon atoms. In certainembodiments, aliphatic groups contain 1-8 carbon atoms. In certainembodiments, aliphatic groups contain 1-6 carbon atoms. In someembodiments, aliphatic groups contain 1-5 carbon atoms, in someembodiments, aliphatic groups contain 1-4 carbon atoms, in yet otherembodiments aliphatic groups contain 1-3 carbon atoms, and in yet otherembodiments aliphatic groups contain 1-2 carbon atoms. Suitablealiphatic groups include, but are not limited to, linear or branched,alkyl, alkenyl, and alkynyl groups, and hybrids thereof such as(cycloalkyl)alkyl, (cycloalkenyl)alkyl or (cycloalkyl)alkenyl.

The term “epoxide”, as used herein, refers to a substituted oxirane.Such substituted oxiranes include monosubstituted oxiranes,disubstituted oxiranes, trisubstituted oxiranes, and tetrasubstitutedoxiranes. Such epoxides may be further optionally substituted as definedherein. In certain embodiments, epoxides comprise a single oxiranemoiety. In certain embodiments, epoxides comprise two or more oxiranemoieties.

The term “polymer”, as used herein, refers to a molecule of highrelative molecular mass, the structure of which comprises the multiplerepetition of units derived, actually or conceptually, from molecules oflow relative molecular mass. In certain embodiments, a polymer iscomprised of only one monomer species (e.g., polyethylene oxide). Incertain embodiments, a polymer of the present invention is a copolymer,terpolymer, heteropolymer, block copolymer, or tapered heteropolymer ofone or more epoxides.

The term “unsaturated”, as used herein, means that a moiety has one ormore double or triple bonds.

The terms “cycloaliphatic”, “carbocycle”, or “carbocyclic”, used aloneor as part of a larger moiety, refer to a saturated or partiallyunsaturated cyclic aliphatic monocyclic, bicyclic, or polycyclic ringsystems, as described herein, having from 3 to 12 members, wherein thealiphatic ring system is optionally substituted as defined above anddescribed herein. Cycloaliphatic groups include, without limitation,cyclopropyl, cyclobutyl, cyclopentyl, cyclopentenyl, cyclohexyl,cyclohexenyl, cycloheptyl, cycloheptenyl, cyclooctyl, cyclooctenyl, andcyclooctadienyl. In some embodiments, the cycloalkyl has 3-6 carbons.The terms “cycloaliphatic”, “carbocycle” or “carbocyclic” also includealiphatic rings that are fused to one or more aromatic or nonaromaticrings, such as decahydronaphthyl or tetrahydronaphthyl, where theradical or point of attachment is on the aliphatic ring. In someembodiments, a carbocyclic groups is bicyclic. In some embodiments, acarbocyclic group is tricyclic. In some embodiments, a carbocyclic groupis polycyclic.

The term “alkyl,” as used herein, refers to saturated, straight orbranched-chain hydrocarbon radicals derived from an aliphatic moietycontaining between one and six carbon atoms by removal of a singlehydrogen atom. Unless otherwise specified, alkyl groups contain 1-12carbon atoms. In certain embodiments, alkyl groups contain 1-8 carbonatoms. In certain embodiments, alkyl groups contain 1-6 carbon atoms. Insome embodiments, alkyl groups contain 1-5 carbon atoms, in someembodiments, alkyl groups contain 1-4 carbon atoms, in yet otherembodiments alkyl groups contain 1-3 carbon atoms, and in yet otherembodiments alkyl groups contain 1-2 carbon atoms. Examples of alkylradicals include, but are not limited to, methyl, ethyl, n-propyl,isopropyl, n-butyl, iso-butyl, sec-butyl, sec-pentyl, iso-pentyl,tert-butyl, n-pentyl, neopentyl, n-hexyl, sec-hexyl, n-heptyl, n-octyl,n-decyl, n-undecyl, dodecyl, and the like.

The term “alkenyl,” as used herein, denotes a monovalent group derivedfrom a straight- or branched-chain aliphatic moiety having at least onecarbon-carbon double bond by the removal of a single hydrogen atom.Unless otherwise specified, alkenyl groups contain 2-12 carbon atoms. Incertain embodiments, alkenyl groups contain 2-8 carbon atoms. In certainembodiments, alkenyl groups contain 2-6 carbon atoms. In someembodiments, alkenyl groups contain 2-5 carbon atoms, in someembodiments, alkenyl groups contain 2-4 carbon atoms, in yet otherembodiments alkenyl groups contain 2-3 carbon atoms, and in yet otherembodiments alkenyl groups contain 2 carbon atoms. Alkenyl groupsinclude, for example, ethenyl, propenyl, butenyl, 1-methyl-2-buten-1-yl,and the like.

The term “alkynyl,” as used herein, refers to a monovalent group derivedfrom a straight- or branched-chain aliphatic moiety having at least onecarbon-carbon triple bond by the removal of a single hydrogen atom.Unless otherwise specified, alkynyl groups contain 2-12 carbon atoms. Incertain embodiments, alkynyl groups contain 2-8 carbon atoms. In certainembodiments, alkynyl groups contain 2-6 carbon atoms. In someembodiments, alkynyl groups contain 2-5 carbon atoms, in someembodiments, alkynyl groups contain 2-4 carbon atoms, in yet otherembodiments alkynyl groups contain 2-3 carbon atoms, and in yet otherembodiments alkynyl groups contain 2 carbon atoms. Representativealkynyl groups include, but are not limited to, ethynyl,2-propynyl(propargyl), 1-propynyl, and the like.

The term “aryl” used alone or as part of a larger moiety as in“aralkyl”, “aralkoxy”, or “aryloxyalkyl”, refers to monocyclic andpolycyclic ring systems having a total of five to 20 ring members,wherein at least one ring in the system is aromatic and wherein eachring in the system contains three to twelve ring members. The term“aryl” may be used interchangeably with the term “aryl ring”. In certainembodiments of the present invention, “aryl” refers to an aromatic ringsystem which includes, but is not limited to, phenyl, biphenyl,naphthyl, anthracyl and the like, which may bear one or moresubstituents. Also included within the scope of the term “aryl”, as itis used herein, is a group in which an aromatic ring is fused to one ormore additional rings, such as benzofuranyl, indanyl, phthalimidyl,naphthimidyl, phenantriidinyl, or tetrahydronaphthyl, and the like.

The terms “heteroaryl” and “heteroar-”, used alone or as part of alarger moiety, e.g., “heteroaralkyl”, or “heteroaralkoxy”, refer togroups having 5 to 14 ring atoms, preferably 5, 6, or 9 ring atoms;having 6, 10, or 14π electrons shared in a cyclic array; and having, inaddition to carbon atoms, from one to five heteroatoms. The term“heteroatom” refers to nitrogen, oxygen, or sulfur, and includes anyoxidized form of nitrogen or sulfur, and any quaternized form of a basicnitrogen. Heteroaryl groups include, without limitation, thienyl,furanyl, pyrrolyl, imidazolyl, pyrazolyl, triazolyl, tetrazolyl,oxazolyl, isoxazolyl, oxadiazolyl, thiazolyl, isothiazolyl,thiadiazolyl, pyridyl, pyridazinyl, pyrimidinyl, pyrazinyl, indolizinyl,purinyl, naphthyridinyl, benzofuranyl and pteridinyl. The terms“heteroaryl” and “heteroar-”, as used herein, also include groups inwhich a heteroaromatic ring is fused to one or more aryl,cycloaliphatic, or heterocyclyl rings, where the radical or point ofattachment is on the heteroaromatic ring. Nonlimiting examples includeindolyl, isoindolyl, benzothienyl, benzofuranyl, dibenzofuranyl,indazolyl, benzimidazolyl, benzthiazolyl, quinolyl, isoquinolyl,cinnolinyl, phthalazinyl, quinazolinyl, quinoxalinyl, 4H-quinolizinyl,carbazolyl, acridinyl, phenazinyl, phenothiazinyl, phenoxazinyl,tetrahydroquinolinyl, tetrahydroisoquinolinyl, andpyrido[2,3-b]-1,4-oxazin-3(4H)-one. A heteroaryl group may be mono- orbicyclic. The term “heteroaryl” may be used interchangeably with theterms “heteroaryl ring”, “heteroaryl group”, or “heteroaromatic”, any ofwhich terms include rings that are optionally substituted. The term“heteroaralkyl” refers to an alkyl group substituted by a heteroaryl,wherein the alkyl and heteroaryl portions independently are optionallysubstituted.

As used herein, the terms “heterocycle”, “heterocyclyl”, “heterocyclicradical”, and “heterocyclic ring” are used interchangeably and refer toa stable 5- to 7-membered monocyclic or 7-14-membered bicyclicheterocyclic moiety that is either saturated or partially unsaturated,and having, in addition to carbon atoms, one or more, preferably one tofour, heteroatoms, as defined above. When used in reference to a ringatom of a heterocycle, the term “nitrogen” includes a substitutednitrogen. As an example, in a saturated or partially unsaturated ringhaving 0-3 heteroatoms selected from oxygen, sulfur or nitrogen, thenitrogen may be N (as in 3,4-dihydro-2H-pyrrolyl), NH (as inpyrrolidinyl), or NR (as in N-substituted pyrrolidinyl).

A heterocyclic ring can be attached to its pendant group at anyheteroatom or carbon atom that results in a stable structure and any ofthe ring atoms can be optionally substituted. Examples of such saturatedor partially unsaturated heterocyclic radicals include, withoutlimitation, tetrahydrofuranyl, tetrahydrothienyl, pyrrolidinyl,pyrrolidonyl, piperidinyl, pyrrolinyl, tetrahydroquinolinyl,tetrahydroisoquinolinyl, decahydroquinolinyl, oxazolidinyl, piperazinyl,dioxanyl, dioxolanyl, diazepinyl, oxazepinyl, thiazepinyl, morpholinyl,and quinuclidinyl. The terms “heterocycle”, “heterocyclyl”,“heterocyclyl ring”, “heterocyclic group”, “heterocyclic moiety”, and“heterocyclic radical”, are used interchangeably herein, and alsoinclude groups in which a heterocyclyl ring is fused to one or morearyl, heteroaryl, or cycloaliphatic rings, such as indolinyl,3H-indolyl, chromanyl, phenanthridinyl, or tetrahydroquinolinyl, wherethe radical or point of attachment is on the heterocyclyl ring. Aheterocyclyl group may be mono or bicyclic. The term “heterocyclylalkyl”refers to an alkyl group substituted by a heterocyclyl, wherein thealkyl and heterocyclyl portions independently are optionallysubstituted.

As used herein, the term “partially unsaturated” refers to a ring moietythat includes at least one double or triple bond. The term “partiallyunsaturated” is intended to encompass rings having multiple sites ofunsaturation, but is not intended to include aryl or heteroarylmoieties, as herein defined.

As described herein, compounds of the invention may contain “optionallysubstituted” moieties. In general, the term “substituted”, whetherpreceded by the term “optionally” or not, means that one or morehydrogens of the designated moiety are replaced with a suitablesubstituent. Unless otherwise indicated, an “optionally substituted”group may have a suitable substituent at each substitutable position ofthe group, and when more than one position in any given structure may besubstituted with more than one substituent selected from a specifiedgroup, the substituent may be either the same or different at everyposition. Combinations of substituents envisioned by this invention arepreferably those that result in the formation of stable or chemicallyfeasible compounds. The term “stable”, as used herein, refers tocompounds that are not substantially altered when subjected toconditions to allow for their production, detection, and, in certainembodiments, their recovery, purification, and use for one or more ofthe purposes disclosed herein.

Suitable monovalent substituents on a substitutable carbon atom of an“optionally substituted” group are independently halogen;—(CH₂)₀₋₄R^(∘); (CH₂)₀₋₄OR^(∘); —O—(CH₂)₀₋₄C(O)OR^(∘);—(CH₂)₀₋₄CH(OR^(O))₂; —(CH₂)₀₋₄SR^(∘); —(CH₂)₀₋₄Ph, which may besubstituted with R^(∘); —(CH₂)₀₋₄O(CH₂)₀₋₁Ph which may be substitutedwith R^(∘); —CH═CHPh, which may be substituted with R^(∘); —NO₂; —CN;—N₃; —(CH₂)₀₋₄N(R^(∘))₂; —(CH₂)₀₋₄N(R^(∘))C(O)R^(∘); —N(R^(∘)C(S)R^(∘));—(CH₂)₀₋₄N(R^(∘))C(O)NR^(∘) ₂; —N(R^(∘))C(S)NR^(∘) ₂;—(CH₂)₀₋₄N(R^(∘))C(O)OR^(∘); —N(R^(∘))N(R^(∘))C(O)R^(∘);—N(R^(∘))N(R^(∘))C(O)NR^(∘) ₂; —N(R^(∘))N(R^(∘))C(O)OR^(∘);—(CH₂)₀₋₄C(O)R^(∘); —C(S)R^(∘); —(CH₂)₀₋₄C(O)OR^(∘);—(CH₂)₀₋₄C(O)N(R^(∘))₂; —(CH₂)₀₋₄C(O)SR^(∘); —(CH₂)₀₋₄C(O)OSiR^(∘) ₃;—(CH₂)₀₋₄OC(O)R^(∘); —OC(O)(CH₂)₀₋₄SR—, SC(S)SR^(∘);—(CH₂)₀₋₄SC(O)R^(∘); —(CH₂)₀₋₄C(O)NR^(∘) ₂; —C(S)NR^(∘) ₂; —C(S)SR^(∘);—SC(S)SR^(∘), —(CH₂)₀₋₄OC(O)NR^(∘) ₂; —C(O)N(OR^(∘))R^(∘);—C(O)C(O)R^(∘); —C(O)CH₂C(O)R^(∘); —C(NOR^(∘))R^(∘); —(CH₂)₀₋₄SSR^(∘);—(CH₂)₀₋₄S(O)₂R^(∘); —(CH₂)₀₋₄S(O)₂OR^(∘); —(CH₂)₀₋₄OS(O)₂R^(∘);—S(O)₂NR^(∘) ₂; —(CH₂)₀₋₄S(O)R^(∘); —N(R^(∘))S(O)₂NR^(∘) ₂;—N(R^(∘))S(O)₂R^(∘); —N(OR^(∘))R^(∘); —C(NH)NR^(∘) ₂; —P(O)₂R^(∘);—P(O)R^(∘) ₂; —OP(O)R^(∘) ₂; —OP(O)(OR^(∘))₂; SiR^(∘) ₃; —(C₁₋₄ straightor branched)alkylene)O—N(R^(∘))₂; or —(C₁₋₄ straight orbranched)alkylene)C(O)O—N(R^(∘))₂, wherein each R^(∘) may be substitutedas defined below and is independently hydrogen, C₁₋₈ aliphatic, —CH₂Ph,—O(CH₂)₀₋₁Ph, or a 5-6-membered saturated, partially unsaturated, oraryl ring having 0-4 heteroatoms independently selected from nitrogen,oxygen, or sulfur, or, notwithstanding the definition above, twoindependent occurrences of R^(∘), taken together with their interveningatom(s), form a 3-12-membered saturated, partially unsaturated, or arylmono- or polycyclic ring having 0-4 heteroatoms independently selectedfrom nitrogen, oxygen, or sulfur, which may be substituted as definedbelow.

Suitable monovalent substituents on R^(∘) (or the ring formed by takingtwo independent occurrences of R^(∘) together with their interveningatoms), are independently halogen, —(CH₂)₀₋₂R^(•), -(haloR^(•)),—(CH₂)₀₋₂OH, —(CH₂)₀₋₂OR^(•), —(CH₂)₀₋₂CH(OR^(•))₂; —O(haloR^(•)), —CN,—N₃, —(CH₂)₀₋₂C(O)R^(•), —(CH₂)₀₋₂C(O)OH, —(CH₂)₀₋₂C(O)OR^(•),—(CH₂)₀₋₄C(O)N(R^(∘))₂; —(CH₂)₀₋₂SR^(•), —(CH₂)₀₋₂SH, —(CH₂)₀₋₂NH₂,—(CH₂)₀₋₂NHR^(•), —(CH₂)₀₋₂NR^(•) ₂, —NO₂, —SiR^(•) ₃, —OSiR^(•) ₃,—C(O)SR^(•), —(C₁₋₄ straight or branched alkylene)C(O)OR^(•), or—SSR^(•) wherein each R^(•) is unsubstituted or where preceded by “halo”is substituted only with one or more halogens, and is independentlyselected from C₁₋₄ aliphatic, —CH₂Ph, —O(CH₂)₀₋₁Ph, or a 5-6-memberedsaturated, partially unsaturated, or aryl ring having 0-4 heteroatomsindependently selected from nitrogen, oxygen, or sulfur. Suitabledivalent substituents on a saturated carbon atom of R^(∘) include ═O and═S.

Suitable divalent substituents on a saturated carbon atom of an“optionally substituted” group include the following: ═O, ═S, ═NNR*₂,═NNHC(O)R*, ═NNHC(O)OR*, ═NNHS(O)₂R*, ═NR*, ═NOR*, —O(C(R*₂))₂₋₃O—, or—S(C(R*₂))₂₋₃S—, wherein each independent occurrence of R* is selectedfrom hydrogen, C₁₋₆ aliphatic which may be substituted as defined below,or an unsubstituted 5-6-membered saturated, partially unsaturated, oraryl ring having 0-4 heteroatoms independently selected from nitrogen,oxygen, or sulfur. Suitable divalent substituents that are bound tovicinal substitutable carbons of an “optionally substituted” groupinclude: —O(CR*₂)₂₋₃O—, wherein each independent occurrence of R* isselected from hydrogen, C₁₋₆ aliphatic which may be substituted asdefined below, or an unsubstituted 5-6-membered saturated, partiallyunsaturated, or aryl ring having 0-4 heteroatoms independently selectedfrom nitrogen, oxygen, or sulfur.

Suitable substituents on the aliphatic group of R* include halogen,—R^(•), -(haloR^(•)), —OH, —OR^(•), —O(haloR^(•)), —CN, —C(O)OH,—C(O)OR^(•), —NH₂, —NHR^(•), —NR^(•) ₂, or —NO₂, wherein each R^(•) isunsubstituted or where preceded by “halo” is substituted only with oneor more halogens, and is independently C₁₋₄ aliphatic, —CH₂Ph,—O(CH₂)₀₋₁Ph, or a 5-6-membered saturated, partially unsaturated, oraryl ring having 0-4 heteroatoms independently selected from nitrogen,oxygen, or sulfur.

Suitable substituents on a substitutable nitrogen of an “optionallysubstituted” group include —R^(†), —NR^(†) ₂, —C(O)R^(†), —C(O)OR^(†),—C(O)C(O)R^(†), —C(O)CH₂C(O)R^(†), —S(O)₂R^(†), —S(O)₂NR^(†) ₂,—C(S)NR^(†) ₂, —C(NH)NR^(†) ₂, or —N(R^(†))S(O)₂R^(†); wherein eachR^(†) is independently hydrogen, C₁₋₆ aliphatic which may be substitutedas defined below, unsubstituted —OPh, or an unsubstituted 5-6-memberedsaturated, partially unsaturated, or aryl ring having 0-4 heteroatomsindependently selected from nitrogen, oxygen, or sulfur, or,notwithstanding the definition above, two independent occurrences ofR^(†), taken together with their intervening atom(s) form anunsubstituted 3-12-membered saturated, partially unsaturated, or arylmono or bicyclic ring having 0-4 heteroatoms independently selected fromnitrogen, oxygen, or sulfur. A substitutable nitrogen may be substitutedwith three R^(†) substituents to provide a charged ammonium moiety—N⁺(R^(†))₃, wherein the ammonium moiety is further complexed with asuitable counterion.

Suitable substituents on the aliphatic group of R^(†) are independentlyhalogen, —R^(•), -(haloR^(•)), —OH, —OR^(•), —O(haloR^(•)), —CN,—C(O)OH, —C(O)OR^(•), —NH₂, —NHR^(•), —NR^(•) ₂, or —NO₂, wherein eachR^(•) is unsubstituted or where preceded by “halo” is substituted onlywith one or more halogens, and is independently C₁₋₄ aliphatic, —CH₂Ph,—O(CH₂)₀₋₁Ph, or a 5-6-membered saturated, partially unsaturated, oraryl ring having 0-4 heteroatoms independently selected from nitrogen,oxygen, or sulfur.

As used herein, the term “catalyst” refers to a substance the presenceof which increases the rate and/or extent of a chemical reaction, whilenot being consumed or undergoing a permanent chemical change itself.

As used herein, the term “tetravalent” refers to metal centers havingfour permanent contact points with other atoms of a bimetallic complex.The tetravalent descriptor is exclusive of other initiators,nucleophiles, solvent molecules, or counterions that may form additionalcontact points with a metal center.

DETAILED DESCRIPTION OF CERTAIN EMBODIMENTS

The present invention provides novel isotactic polyethers that areuseful in a variety of applications ranging from consumer packaging tomaterials. It has been unexpectedly found that the use of a non-racemicbimetallic complex as described herein affords polyethers of highisotacticity. In certain embodiments, the present invention providesmethods of using a provided bimetallic complex to afford novelpolyethers. In certain embodiments, the present invention providesmethods of using a provided bimetallic complex to achieve kineticresolution of epoxides.

I. Bimetallic Complexes

As generally described above, the present invention provides bimetalliccomplexes useful for polymerization of epoxides. In certain embodiments,the bimetallic complex is of formula I:

wherein:

-   -   M is a metal atom;    -   X is a nucleophile;    -   n is an integer from 0 to 2, inclusive    -   each occurrence of L¹, L², Y¹, and Y² is independently —O—,        —P(R′)₂—, ═NR′—, or —N(R)₂—;    -   each occurrence of

-   -    is an optionally substituted moiety selected from the group        consisting of C₂₋₁₂ aliphatic, C₇₋₁₂ arylalkyl; 6-10-membered        aryl; 5-10-membered heteroaryl having 1-4 heteroatoms        independently selected from nitrogen, oxygen, or sulfur; and        4-7-membered heterocyclic having 1-2 heteroatoms independently        selected from the group consisting of nitrogen, oxygen, and        sulfur;    -   each occurrence of

-   -    is an optionally substituted moiety selected from the group        consisting of C₇₋₁₂ arylalkyl; 6-10-membered aryl; and        5-10-membered heteroaryl having 1-4 heteroatoms independently        selected from nitrogen, oxygen, or sulfur;    -   represents a single bond directly attached to an aryl or        heteroaryl ring of each

-   -   each occurrence of R′ is hydrogen or an optionally substituted        moiety selected from the group consisting of a C₃-C₁₄        carbocycle, a C₆-C₁₀ aryl group, a C₃-C₁₄ heterocycle, and a        C₅-C₁₀ heteroaryl group; or an optionally substituted C₂₋₂₀        aliphatic group, wherein one or more methylene units are        optionally and independently replaced by —NR^(y)—,        —N(R^(y))C(O)—, —C(O)N(R^(y))—, —OC(O)N(R^(y))—,        —N(R^(y))C(O)O—, —OC(O)O—, —O—, —C(O)—, —OC(O)—, —C(O)O—, —S—,        —SO—, —SO₂—, —C(═S)—, —C(═NR^(y))—, —C(═NOR^(y))— or —N═N—; or        -   two R′ are taken together with their intervening atoms to            form a monocyclic or bicyclic 3-12-membered ring;    -   wherein a substituent may comprise one or more organic cations;        and    -   each occurrence of R^(y) is independently hydrogen or an        optionally substituted C₁₋₆ aliphatic group.

In certain embodiments, M is a main group metal. In certain embodiments,M is a transition metal selected from the periodic table groups 5-12,inclusive, boron, or aluminum. In certain embodiments, M is a transitionmetal selected from the periodic table groups 4-11, inclusive. Incertain embodiments, M is selected from the lanthanides. In certainembodiments, M is a transition metal selected from the periodic tablegroups 5-10, inclusive. In certain embodiments, M is a transition metalselected from the periodic table groups 7-9, inclusive. In someembodiments, M is selected from the group consisting of Cr, Mn, V, Fe,Co, Mo, W, Ru, Ti, Al, Zr, Hf, and Ni.

In certain embodiments, the bimetallic complex employed is a zinc,cobalt, chromium, aluminum, titanium, ruthenium or manganese complex. Incertain embodiments, the bimetallic complex is an aluminum complex. Incertain embodiments, the bimetallic complex is a chromium complex. Incertain embodiments, the bimetallic complex is a zinc complex. Incertain embodiments, the bimetallic complex is a titanium complex. Incertain embodiments, the bimetallic complex is a ruthenium complex. Incertain embodiments, the bimetallic complex is a manganese complex. Incertain embodiments, the bimetallic complex is cobalt complex. Incertain embodiments, wherein the bimetallic complex is a cobalt complex,the cobalt metal has a valency of +3 (i.e., Co(III)). In certainembodiments, the bimetallic complex comprises two tetradentate ligands.In certain embodiments the bimetallic complex comprises a Schiff base.In certain embodiments the bimetallic complex comprises a salen ligand,or a beta diimidate ligand.

As described above, X is a nucleophile or counterion. Consistent withour earlier disclosure of bimetallic catalysts in U.S. ProvisionalPatent Application Ser. No. 60/935,529, filed Aug. 17, 2007, we have nowshown that X may be present in a variety of embodiments, the details ofwhich are disclosed herein. In certain embodiments, when n is 0, X isabsent. In certain embodiments, X is a nucleophilic ligand. Exemplarynucleophilic ligands include, but are not limited to, —OR^(x), —SR^(x),—O(C═O)R^(x), —O(C═O)OR^(x), —O(C═O)N(R^(x))₂, —N(R^(x))(C═O)R^(x), —NC,—CN, halo (e.g., —Br, —I, —Cl), —N₃, —O(SO₂)R^(x) and OPR^(x) ₃, whereineach R^(x) is, independently, selected from hydrogen, optionallysubstituted aliphatic, optionally substituted heteroaliphatic,optionally substituted aryl and optionally substituted heteroaryl.

In certain embodiments, X is —O(C═O)R^(x), wherein R^(x) is selectedfrom optionally substituted aliphatic, fluorinated aliphatic, optionallysubstituted heteroaliphatic, optionally substituted aryl, fluorinatedaryl, and optionally substituted heteroaryl.

For example, in certain embodiments, X is —O(C═O)R^(x), wherein R^(x) isoptionally substituted aliphatic. In certain embodiments, X is—O(C═O)R^(x), wherein R^(x) is optionally substituted alkyl andfluoroalkyl. In certain embodiments, X is —O(C═O)CH₃ or —O(C═O)CF₃.

Furthermore, in certain embodiments, X is —O(C═O)R^(x), wherein R^(x) isoptionally substituted aryl, fluoroaryl, or heteroaryl. In certainembodiments, X is —O(C═O)R^(x), wherein R^(x) is optionally substitutedaryl. In certain embodiments, X is —O(C═O)R^(x), wherein R^(x) isoptionally substituted phenyl. In certain embodiments, X is —O(C═O)C₆H₅or —O(C═O)C₆F₅.

In certain embodiments, X is —OR^(x), wherein R^(x) is selected fromoptionally substituted aliphatic, optionally substitutedheteroaliphatic, optionally substituted aryl, and optionally substitutedheteroaryl.

For example, in certain embodiments, X is —OR^(x), wherein R^(x) isoptionally substituted aryl. In certain embodiments, X is —OR^(x),wherein R^(x) is optionally substituted phenyl. In certain embodiments,X is —OC₆H₅ or —OC₆H₂(2,4-NO₂).

In certain embodiments, X is halo. In certain embodiments, X is —Br. Incertain embodiments, X is —Cl. In certain embodiments, X is —I.

In certain embodiments, X is —O(SO₂)R^(x). In certain embodiments X is—OTs. In certain embodiments X is —OSO₂Me. In certain embodiments X is—OSO₂CF₃.

In some embodiments, X is a 2,4-dinitrophenolate anion.

In some embodiments, n is 0. In some embodiments, n is 1. In someembodiments, n is 2.

In some embodiments, each occurrence of L¹ is independently —O— or—NR′—. In some embodiments, each occurrence of L² is independently —O—or —NR′—. In some embodiments, each occurrence of Y¹ is independently—O— or —NR′—. In some embodiments, each occurrence of Y² isindependently —O— or —NR′—. In certain embodiments, L¹ and Y¹ are both—NR′—. In certain embodiments, L² and Y² are both —O—.

In some embodiments, each occurrence of R′ is independently anoptionally substituted group selected from C₁₋₁₂ aliphatic or C₁₋₁₂heteroaliphatic having 1-4 heteroatoms independently selected from thegroup consisting of nitrogen, oxygen, and sulfur. In certainembodiments, each occurrence of R′ is independently an optionallysubstituted C₁₋₁₂ aliphatic group. In certain embodiments, eachoccurrence of R′ is independently an optionally substituted C₁₋₁₂heteroaliphatic group having 1-4 heteroatoms independently selected fromthe group consisting of nitrogen, oxygen, and sulfur.

In some embodiments, two R′ are taken together with their interveningatoms to form a monocyclic or bicyclic 5-12-membered ring. In someembodiments, two R′ are taken together with their intervening atoms toform an optionally substituted bicyclic 5-10-membered ring. In someembodiments, two R′ are taken together with their intervening atoms toform:

wherein Ring A is optionally substituted with one or more halogen orR^(◯) groups. In some embodiments, two R′ are taken together with theirintervening atoms to form:

In some embodiments, each occurrence of

is independently an optionally substituted C₇₋₁₂ arylalkyl group. Insome embodiments, each occurrence of

is independently an optionally substituted 6-10-membered aryl group. Insome embodiments, each occurrence of

is independently an optionally substituted 5-10-membered heteroarylgroup having 1-4 heteroatoms independently selected from nitrogen,oxygen, or sulfur. In some embodiments, each occurrence of

is independently an optionally substituted 4-7-membered heterocyclicgroup having 1-2 heteroatoms independently selected from the groupconsisting of nitrogen, oxygen, and sulfur group. In some embodiments,

is an optionally substituted C₇ arylalkyl group. In some embodiments,

comprises a salen ligand.

In some embodiments, each occurrence of

is independently an optionally substituted C₇₋₁₂ arylalkyl group. Insome embodiments, each occurrence of

is independently an optionally substituted 6-10-membered aryl group. Insome embodiments, each occurrence of

is independently an optionally substituted 5-10-membered heteroarylgroup having 1-4 heteroatoms independently selected from nitrogen,oxygen, or sulfur. In some embodiments, each occurrence of

is independently an optionally substituted 4-7-membered heterocyclicgroup having 1-2 heteroatoms independently selected from the groupconsisting of nitrogen, oxygen, and sulfur group. In some embodiments,

is an optionally substituted C₇ arylalkyl group. In some embodiments

comprises a salen ligand.

In certain embodiments, the L¹, L², Y¹, Y² and

moieties are such that the bimetallic complex is non-symmetric. Incertain embodiments, the L¹, L², Y¹, Y² and

moieties are such that the bimetallic complex is non-racemic. In certainembodiments, the L¹, L², Y¹, Y² and

moieties are such that the bimetallic complex has an axial symmetry.

In certain embodiments, provided bimetallic complexes are tetradentatewith respect to the number of atoms forming covalent bonds with each M.Such tetracoordinate metal centers may further form bonding interactionswith one or more X moieties or solvent molecules.

In certain embodiments, provided bimetallic complexes contain an elementhaving axial chirality. In some embodiments, the element having axialchirality is contained in the portion of formula I having the formula:

-   -   wherein each of

-   -    n, X, Y¹, Y², and M is as defined in formula I and described in        classes and subclasses above and herein.

In some embodiments, the axial chirality of a bimetallic complex offormula I results from the hindered rotation of the molecule about bondB1 indicated in the formula:

-   -   wherein each of

-   -    n, X, Y¹, Y², and M is as defined in formula I and described in        classes and subclasses above and herein.

In certain embodiments, the present invention provides an opticallyenriched bimetallic complex of formula I. In some embodiments, thebimetallic complex has an enantiomeric excess greater than 90%. In someembodiments, the bimetallic complex has an enantiomeric excess greaterthan 95%. In some embodiments, the bimetallic complex has anenantiomeric excess greater than 97%. In some embodiments, thebimetallic complex has an enantiomeric excess greater than 98%. In someembodiments, the bimetallic complex has an enantiomeric excess greaterthan 99%. In certain embodiments, the bimetallic complex is opticallypure.

As described above, each occurrence of L¹, L², Y¹, and Y² isindependently —O—, —P(R′)₂—, ═NR′—, or —N(R′)₂—. In certain embodiments,an R′ group of L¹ may be taken together with a R′ group of Y¹ to form amonocyclic or bicyclic 3-12-membered ring. In certain embodiments, an R′group of L² may be taken together with a R′ group of Y² to form amonocyclic or bicyclic 3-12-membered ring. In certain embodiments, thetwo R′ groups are taken together with their intervening atoms to form anoptionally substituted moiety selected from the group consisting of aC₃-C₁₄ carbocycle, a C₆-C₁₀ aryl group, a C₃-C₁₄ heterocycle, and aC₅-C₁₀ heteroaryl group; or an optionally substituted C₂₋₂₀ aliphaticgroup, wherein one or more methylene units are optionally andindependently replaced by —NR^(y)—, —N(R^(y))C(O)—, —C(O)N(R^(y))—,—OC(O)N(R^(y))—, —N(R^(y))C(O)O—, —OC(O)O—, —O—, —C(O)—, —OC(O)—,—C(O)O—, —S—, —SO—, —SO₂—, —C(═S)—, —C(═NR^(y))—, —C(═NOR^(y))— or—N═N—; wherein each occurrence of R^(y) is independently hydrogen or anoptionally substituted C₁₋₆ aliphatic group.

As shown in formula I, L¹, L², Y¹, Y², and optionally X formshared-electron bonding interactions with M. It will be appreciated byone of ordinary skill in the art that for the —O—, —P(R)₂—, ═NR′—, or—N(R′)₂— groups of L¹, L², Y¹, and Y², the atoms interacting with themetal center are O, P, and/or N. It will further be appreciated that thenumber and identity of R′ groups on the O, P, and N atoms of L¹, L², Y¹,Y² will be such that valency rules are satisfied when a metal atom ispresent. In certain embodiments, each occurrence of L¹, L², Y¹, and Y²is independently —O—, —PR′—, ═N—, or —NR′—.

In some embodiments, two M moieties of the same bimetallic complex arenot directly connected via an —O— linkage. In some embodiments, two Mmoieties of the same bimetallic complex are not directly connected viaone or more X groups.

In certain embodiments, provided bimetallic complexes are of formulaI-a:

wherein:

-   -   each of

-   -    n, X, M, L¹, and L² is as defined in formula I and described in        classes and subclasses above and herein;    -   each occurrence of Q is an optionally substituted moiety        selected from the group consisting of a C₃-C₁₄ carbocycle, a        C₆-C₁₀ aryl group, a C₃-C₁₄ heterocycle, and a C₅-C₁₀ heteroaryl        group; or an optionally substituted C₂₋₂₀ aliphatic group,        wherein one or more methylene units are optionally and        independently replaced by —NR^(y)—, —N(R^(y))C(O)—,        —C(O)N(R^(y))—, —OC(O)N(R^(y))—, —N(R^(y))C(O)O—, —OC(O)O—, —O—,        —C(O)—, —OC(O)—, —C(O)O—, —S—, —SO—, —SO₂—, —C(═S)—,        —C(═NR^(y))—, —C(═NOR^(y))— or —N═N—;    -   each occurrence of R^(y) is independently hydrogen or an        optionally substituted C₁₋₆ aliphatic group;    -   each occurrence of R¹ and R² is independently hydrogen, halogen,        —NO₂, —CN, —SR^(y), —S(O)R^(y), —S(O)₂R^(y), —NR^(y)C(O)R^(y),        —OC(O)R^(y), —CO₂R^(y), —NCO, —N₃, —OR⁹, —OC(O)N(R^(y))₂,        —N(R^(Y))₂, —NR^(y)C(O)R^(y), —NR^(y)C(O)OR^(y); or an        optionally substituted group selected from the group consisting        of C₁₋₁₂ aliphatic; C₁₋₁₂ heteroaliphatic having 1-4 heteroatoms        independently selected from the group consisting of nitrogen,        oxygen, and sulfur; 6-10-membered aryl; 5-10-membered heteroaryl        having 1-4 heteroatoms independently selected from nitrogen,        oxygen, or sulfur; and 4-7-membered heterocyclic having 1-2        heteroatoms independently selected from the group consisting of        nitrogen, oxygen, and sulfur; or    -   R¹ and R² are taken together with their intervening atoms to        form an optionally substituted 4-14-membered carbocycle, an        optionally substituted 4-14-membered heterocycle, an optionally        substituted 6-10-membered aryl group or an optionally        substituted 5-10-membered heteroaryl group having 1-4        heteroatoms independently selected from nitrogen, oxygen, or        sulfur ring; and    -   each occurrence of R³ and R⁴ is independently hydrogen, halogen,        —NO₂, —CN, —SR^(y), —S(O)R^(y), —S(O)₂R^(y), —NR^(y)C(O)R^(y),        —OC(O)R^(y), —CO₂R^(y), —NCO, —N₃, —OR^(y), —OC(O)N(R^(y))₂,        —N(R^(y))₂, —NR^(y)C(O)R, —NR^(y)C(O)OR^(y); or an optionally        substituted group selected from the group consisting of C₁₋₁₂        aliphatic; C₁₋₁₂ heteroaliphatic having 1-4 heteroatoms        independently selected from the group consisting of nitrogen,        oxygen, and sulfur; 6-10-membered aryl; 5-10-membered heteroaryl        having 1-4 heteroatoms independently selected from nitrogen,        oxygen, or sulfur; and 4-7-membered heterocyclic having 1-2        heteroatoms independently selected from the group consisting of        nitrogen, oxygen, and sulfur.

Consistent with our earlier disclosure, Q may be present in a variety ofembodiments, the details of which are disclosed herein. In certainembodiments, each occurrence of Q is independently is an optionallysubstituted moiety selected from the group consisting of a C₃-C₁₄carbocycle, a C₆-C₁₀ aryl group, a C₃-C₁₄ heterocycle, and a C₅-C₁₀heteroaryl group; or an optionally substituted C₂₋₂₀ aliphatic group,wherein one or more methylene units are optionally and independentlyreplaced by —NR^(y)—, —N(R^(y))C(O)—, —C(O)N(R^(y))—, —OC(O)N(R^(y))—,—N(R^(y))C(O)O—, —OC(O)O—, —O—, —C(O)—, —OC(O)—, —C(O)O—, —S—, —SO—,—SO₂—, —C(═S)—, —C(═NR^(y))—, —C(═NOR^(y))— or —N═N—. In certainembodiments, Q is an optionally substituted C₃-C₁₄ heterocyclic group.In some embodiments, Q is an optionally substituted C₅-C₁₀ heteroarylgroup.

In certain embodiments, each occurrence of Q is independently anoptionally substituted C₃-C₁₄ carbocycle aliphatic group, wherein one ormore methylene units are optionally and independently replaced by—NR^(y)—, —N(R^(y))C(O)—, —C(O)N(R^(y))—, —OC(O)N(R^(y))—,—N(R^(y))C(O)O—, —OC(O)O—, —O—, —C(O)—, —OC(O)—, —C(O)O—, —S—, —SO—,—SO₂—, —C(═S)—, —C(═NR^(y))—, —C(═NOR^(y))— or —N═N—. In someembodiments, Q is 1,2-cyclohexyl. In some embodiments, Q is(R,R)-1,2-cyclohexyl. In some embodiments, Q is (S,S)-1,2-cyclohexyl. Insome embodiments, Q is (R,R)-1,2-cyclohexyl when the bond between thebiaryl linkage is of S chirality. In some embodiments, Q is(S,S)-1,2-cyclohexyl when the bond between the biaryl linkage is of Rchirality.

In some embodiments, each occurrence of Q is independently an optionallysubstituted C₆-C₁₀ aryl group, wherein one or more methylene units areoptionally and independently replaced by —NR^(y)—, —N(R^(y))C(O)—,—C(O)N(R^(y))—, —OC(O)N(R^(y))—, —N(R^(y))C(O)O—, —OC(O)O—, —O—, —C(O)—,—OC(O)—, —C(O)O—, —S—, —SO—, —SO₂—, —C(═S)—, —C(═NR^(y))—, —C(═NOR^(y))—or —N═N—. In some embodiments, Q is 1,2-phenyl.

In some embodiments, Q optionally substituted C₅₋₁₀ aliphatic. In someembodiments, Q optionally substituted C₆₋₈ aliphatic.

Consistent with our earlier disclosure, the R groups of bimetalliccomplexes of the present invention may be selected from a variety ofsuitable substituents. Exemplary substituents are disclosed herein. Incertain embodiments, an R group may comprise a polymer backbone suchthat the bimetallic complex is immobilized on a solid support.

In some embodiments, each occurrence of R¹ and R² is independentlyhydrogen, halogen, —NO₂, —CN, —SR^(y), —S(O)R^(y), —S(O)₂R^(y),—NR^(y)C(O)R^(y), —OC(O)R^(y), —CO₂R^(y), —NCO, —N₃, —OR^(y),—OC(O)N(R^(y))₂, —N(R^(y))₂, —NR^(y)C(O)R^(y), or —NR^(y)C(O)OR^(y). Insome embodiments, each occurrence of R¹ and R² is independently anoptionally substituted group selected from the group consisting of C₁₋₁₂aliphatic; C₁₋₁₂ heteroaliphatic having 1-4 heteroatoms independentlyselected from the group consisting of nitrogen, oxygen, and sulfur;6-10-membered aryl; 5-10-membered heteroaryl having 1-4 heteroatomsindependently selected from nitrogen, oxygen, or sulfur; and4-7-membered heterocyclic having 1-2 heteroatoms independently selectedfrom the group consisting of nitrogen, oxygen, and sulfur.

In some embodiments, R¹ is hydrogen, halogen, —NO₂, —CN, —SR^(y),—S(O)R^(y), —S(O)₂R^(y), —NR^(y)C(O)R^(y), —OC(O)R^(y), —CO₂R^(y), —NCO,—N₃, —OR^(y), —OC(O)N(R^(y))₂, —N(R^(y))₂, —NR^(y)C(O)R^(y), or—NR^(y)C(O)OR^(y). In some embodiments, each occurrence of R¹ and R² isindependently an optionally substituted group selected from the groupconsisting of C₁₋₁₂ aliphatic; C₁₋₁₂ heteroaliphatic having 1-4heteroatoms independently selected from the group consisting ofnitrogen, oxygen, and sulfur; 6-10-membered aryl; 5-10-memberedheteroaryl having 1-4 heteroatoms independently selected from nitrogen,oxygen, or sulfur; and 4-7-membered heterocyclic having 1-2 heteroatomsindependently selected from the group consisting of nitrogen, oxygen,and sulfur.

In some embodiments, R² is hydrogen, halogen, —NO₂, —CN, —SR^(y),—S(O)R^(y), —S(O)₂R^(y), —NR^(y)C(O)R^(y), —OC(O)R^(y), —CO₂R^(y), —NCO,—N₃, —OR^(y), —OC(O)N(R^(y))₂, —N(R^(y))₂, —NR^(y)C(O)R^(y), or—NR^(y)C(O)OR^(y). In some embodiments, each occurrence of R¹ and R² isindependently an optionally substituted group selected from the groupconsisting of C₁₋₁₂ aliphatic; C₁₋₁₂ heteroaliphatic having 1-4heteroatoms independently selected from the group consisting ofnitrogen, oxygen, and sulfur; 6-10-membered aryl; 5-10-memberedheteroaryl having 1-4 heteroatoms independently selected from nitrogen,oxygen, or sulfur; and 4-7-membered heterocyclic having 1-2 heteroatomsindependently selected from the group consisting of nitrogen, oxygen,and sulfur.

In some embodiments, R¹ and R² are taken together with their interveningatoms to form an optionally substituted 4-14-membered carbocycle, anoptionally substituted 4-14-membered heterocycle, an optionallysubstituted 6-10-membered aryl group or an optionally substituted5-10-membered heteroaryl group having 1-4 heteroatoms independentlyselected from nitrogen, oxygen, or sulfur ring. In certain embodiments,R¹ and R² are taken together with their intervening atoms to form anoptionally substituted 6-10-membered aryl ring. In certain embodiments,R¹ and R² are taken together with their intervening atoms to form a6-membered aryl ring. In some embodiments, R¹ and R² are taken togetherwith their intervening atoms to form:

In other embodiments, R¹ and R² are taken together with theirintervening atoms to form an optionally substituted 4-14-memberedcarbocycle. In some embodiments, R¹ and R² are taken together with theirintervening atoms to form an optionally substituted 6-12-memberedcarbocycle. In certain embodiments, R¹ and R² are taken together withtheir intervening atoms to form:

In some embodiments, each occurrence of R³ and R⁴ is independentlyindependently hydrogen, halogen, —NO₂, —CN, —SR^(y), —S(O)R^(y),—S(O)₂R^(y), —NR^(y)C(O)R^(y), —OC(O)R^(y), —CO₂R^(y), —NCO, —N₃,—OR^(y), —OC(O)N(R^(y))₂, —N(R^(y))₂, —NR^(y)C(O)R, —NR^(y)C(O)OR^(y).In some embodiments, each occurrence of R³ and R⁴ is independently anoptionally substituted group selected from the group consisting of C₁₋₁₂aliphatic; C₁₋₁₂ heteroaliphatic having 1-4 heteroatoms independentlyselected from the group consisting of nitrogen, oxygen, and sulfur;6-10-membered aryl; 5-10-membered heteroaryl having 1-4 heteroatomsindependently selected from nitrogen, oxygen, or sulfur; and4-7-membered heterocyclic having 1-2 heteroatoms independently selectedfrom the group consisting of nitrogen, oxygen, and sulfur. In someembodiments, R³ and R⁴ are both hydrogen. In certain embodiments, R³ andR⁴ are independently a C₁₋₁₂ aliphatic group substituted with one ormore organic cations, wherein each cation is complexed with an X, asdefined herein. It will be appreciated that any X of an [organiccation][X] substituent is separate and in addition to any X moietiescomplexed with M. In some embodiments, the organic cation is aquaternary ammonium.

In certain embodiments, R³ is hydrogen, halogen, —NO₂, —CN, —SR^(y),—S(O)R^(y), —S(O)₂R^(y), —NR^(y)C(O)R^(y), —OC(O)R^(y), —CO₂R^(y), —NCO,—N₃, —OR^(y), —OC(O)N(R^(y))₂, —N(R^(y))₂, —NR^(y)C(O)R,—NR^(y)C(O)OR^(y); or an optionally substituted group selected from thegroup consisting of C₁₋₁₂ aliphatic; C₁₋₁₂ heteroaliphatic having 1-4heteroatoms independently selected from the group consisting ofnitrogen, oxygen, and sulfur; 6-10-membered aryl; 5-10-memberedheteroaryl having 1-4 heteroatoms independently selected from nitrogen,oxygen, or sulfur; and 4-7-membered heterocyclic having 1-2 heteroatomsindependently selected from the group consisting of nitrogen, oxygen,and sulfur.

In certain embodiments, R⁴ is hydrogen, halogen, —NO₂, —CN, —SR^(y),—S(O)R^(y), —S(O)₂R^(y), —NR^(y)C(O)R^(y), —OC(O)R^(y), —CO₂R^(y), —NCO,—N₃, —OR^(y), —OC(O)N(R^(y))₂, —N(R^(y))₂, —NR^(y)C(O)R,—NR^(y)C(O)OR^(y); or an optionally substituted group selected from thegroup consisting of C₁₋₁₂ aliphatic; C₁₋₁₂ heteroaliphatic having 1-4heteroatoms independently selected from the group consisting ofnitrogen, oxygen, and sulfur; 6-10-membered aryl; 5-10-memberedheteroaryl having 1-4 heteroatoms independently selected from nitrogen,oxygen, or sulfur; and 4-7-membered heterocyclic having 1-2 heteroatomsindependently selected from the group consisting of nitrogen, oxygen,and sulfur.

In certain embodiments, provided bimetallic complexes are of formulaI-b:

-   -   wherein:    -   each of

-   -    n, X, M, Q, Y¹, and Y² is as defined in formulae I and I-a and        described in classes and subclasses above and herein;    -   each occurrence of R⁵, R^(5a), and R^(5b) is independently        hydrogen, halogen, —NO₂, —CN, —SR^(y), —S(O)R^(y), —S(O)₂R^(y),        —NR^(y)C(O)R^(y), —OC(O)R^(y), —CO₂R^(y), —NCO, —N₃, —OR^(y),        —OC(O)N(R^(y))₂, —N(R^(Y))₂, —NR^(y)C(O)R^(y),        —NR^(y)C(O)OR^(y); or an optionally substituted group selected        from the group consisting of C₁₋₁₂ aliphatic; C₁₋₁₂        heteroaliphatic having 1-4 heteroatoms independently selected        from the group consisting of nitrogen, oxygen, and sulfur;        6-10-membered aryl; 5-10-membered heteroaryl having 1-4        heteroatoms independently selected from nitrogen, oxygen, or        sulfur; and 4-7-membered heterocyclic having 1-2 heteroatoms        independently selected from the group consisting of nitrogen,        oxygen, and sulfur; wherein adjacent R⁵, R^(5a), or R^(5b)        groups can be taken together to form an optionally substituted        saturated, partially unsaturated, or aromatic 5- to 12-membered        ring containing 0 to 4 heteroatoms; and    -   each occurrence of R^(y) is independently hydrogen or an        optionally substituted C₁₋₆ aliphatic group.

In certain embodiments, R⁵ is hydrogen, halogen, —NO₂, —CN, —SR^(y),—S(O)R^(y), —S(O)₂R^(y), —NR^(y)C(O)R^(y), —OC(O)R^(y), —CO₂R^(y), —NCO,—N₃, —OR^(y), —OC(O)N(R^(y))₂, —N(R^(y))₂, —NR^(y)C(O)R,—NR^(y)C(O)OR^(y); or an optionally substituted group selected from thegroup consisting of C₁₋₁₂ aliphatic; C₁₋₁₂ heteroaliphatic having 1-4heteroatoms independently selected from the group consisting ofnitrogen, oxygen, and sulfur; 6-10-membered aryl; 5-10-memberedheteroaryl having 1-4 heteroatoms independently selected from nitrogen,oxygen, or sulfur; and 4-7-membered heterocyclic having 1-2 heteroatomsindependently selected from the group consisting of nitrogen, oxygen,and sulfur. In certain embodiments, R⁵ is hydrogen. In certainembodiments, R⁵ is a C₁₋₁₂ aliphatic group substituted with one or moreorganic cations, wherein each cation is complexed with an X, as definedherein. It will be appreciated that any X of an [organic cation][X]substituent is separate and in addition to any X moieties complexed withM. In some embodiments, the organic cation is a quaternary ammonium.

In certain embodiments, R^(5a) is hydrogen, halogen, —NO₂, —CN, —SR^(y),—S(O)R^(y), —S(O)₂R^(y), —NR^(y)C(O)R^(y), —OC(O)R^(y), —CO₂R^(y), —NCO,—N₃, —OR^(y), —OC(O)N(R^(y))₂, —N(R^(y))₂, —NR^(y)C(O)R,—NR^(y)C(O)OR^(y); or an optionally substituted group selected from thegroup consisting of C₁₋₁₂ aliphatic; C₁₋₁₂ heteroaliphatic having 1-4heteroatoms independently selected from the group consisting ofnitrogen, oxygen, and sulfur; 6-10-membered aryl; 5-10-memberedheteroaryl having 1-4 heteroatoms independently selected from nitrogen,oxygen, or sulfur; and 4-7-membered heterocyclic having 1-2 heteroatomsindependently selected from the group consisting of nitrogen, oxygen,and sulfur. In certain embodiments, R^(5a) and R^(5b) are taken togetherto form an optionally substituted aromatic 6-10-membered ring. Incertain embodiments, R^(5a) and R^(5b) are taken together to form anoptionally substituted phenyl ring.

In certain embodiments, R^(5b) is hydrogen, halogen, —NO₂, —CN, —SR^(y),—S(O)R^(y), —S(O)₂R^(y), —NR^(y)C(O)R^(y), —OC(O)R^(y), —CO₂R^(y), —NCO,—N₃, —OR⁹, —OC(O)N(R^(y))₂, —N(R^(y))₂, —NR^(y)C(O)R, —NR^(y)C(O)OR^(y);or an optionally substituted group selected from the group consisting ofC₁₋₁₂ aliphatic; C₁₋₁₂ heteroaliphatic having 1-4 heteroatomsindependently selected from the group consisting of nitrogen, oxygen,and sulfur; 6-10-membered aryl; 5-10-membered heteroaryl having 1-4heteroatoms independently selected from nitrogen, oxygen, or sulfur; and4-7-membered heterocyclic having 1-2 heteroatoms independently selectedfrom the group consisting of nitrogen, oxygen, and sulfur.

In certain embodiments, provided bimetallix complexes are of formulaI-c:

wherein:

-   -   each of

-   -    n, M, X, Q, Y¹, and Y² is as defined in formulae I and I-a and        described in classes and subclasses above and herein; and    -   each occurrence of R⁵, R⁶, R⁷, R⁸, and R⁹ is independently        hydrogen, halogen, —NO₂, —CN, —SR^(y), —S(O)R^(y), —S(O)₂R^(y),        —NR^(y)C(O)R^(y), —OC(O)R^(y), —CO₂R^(y), —NCO, —N₃, —OR^(y),        —OC(O)N(R^(y))₂, —N(R^(y))₂, —NR^(y)C(O)R^(y),        —NR^(y)C(O)OR^(y); or an optionally substituted group selected        from the group consisting of C₁₋₁₂ aliphatic; C₁₋₁₂        heteroaliphatic having 1-4 heteroatoms independently selected        from the group consisting of nitrogen, oxygen, and sulfur;        6-10-membered aryl; 5-10-membered heteroaryl having 1-4        heteroatoms independently selected from nitrogen, oxygen, or        sulfur; and 4-7-membered heterocyclic having 1-2 heteroatoms        independently selected from the group consisting of nitrogen,        oxygen, and sulfur; wherein adjacent R⁶, R⁷, R⁸, or R⁹ groups        can be taken together to form an optionally substituted        saturated, partially unsaturated, or aromatic 5- to 12-membered        ring containing 0 to 4 heteroatoms.

In some embodiments, each occurrence of R⁵, R⁶, R⁷, R⁸, and R⁹ isindependently hydrogen, halogen, —NO₂, —CN, —SR^(y), —S(O)R^(y),—S(O)₂R^(y), —NR^(y)C(O)R^(y), —OC(O)R^(y), —CO₂R^(y), —NCO, —N₃,—OR^(y), —OC(O)N(R^(y))₂, —N(R^(y))₂, —NR^(y)C(O)R^(y),—NR^(y)C(O)OR^(y). In some embodiments, each occurrence of R⁵, R⁶, R⁷,R⁸, and R⁹ is hydrogen. In some embodiments, each occurrence of R⁵, R⁶,R⁷, R⁸, and R⁹ is independently an optionally substituted group selectedfrom the group consisting of C₁₋₁₂ aliphatic; C₁₋₁₂ heteroaliphatichaving 1-4 heteroatoms independently selected from the group consistingof nitrogen, oxygen, and sulfur; 6-10-membered aryl; 5-10-memberedheteroaryl having 1-4 heteroatoms independently selected from nitrogen,oxygen, or sulfur; and 4-7-membered heterocyclic having 1-2 heteroatomsindependently selected from the group consisting of nitrogen, oxygen,and sulfur. In certain embodiments, R⁵, R⁶, and R⁸ are independently aC₁₋₁₂ aliphatic group substituted with one or more organic cations,wherein each cation is complexed with an X, as defined herein. It willbe appreciated that any X of an [organic cation][X] substituent isseparate and in addition to any X moieties complexed with M. In someembodiments, the organic cation is a quaternary ammonium.

In certain embodiments, adjacent R⁶, R⁷, R⁸, or R⁹ groups can be takentogether to form an optionally substituted saturated, partiallyunsaturated, or aromatic 5- to 12-membered ring containing 0 to 4heteroatoms. In some embodiments, adjacent R⁶, R⁷, R⁸, or R⁹ groups aretaken together to form an optionally substituted 5-6-membered cycloalkylgroup. In some embodiments, adjacent R⁶, R⁷, R⁸, or R⁹ groups are takentogether to form an optionally substituted 6-membered aryl group. Insome embodiments, adjacent R⁶, R⁷, R⁸, or R⁹ groups are taken togetherto form an optionally substituted 5-7-membered heteroaryl group.

In certain embodiments, R⁵ is hydrogen, halogen, —NO₂, —CN, —SR^(y),—S(O)R^(y), —S(O)₂R^(y), —NR^(y)C(O)R^(y), —OC(O)R^(y), —CO₂R^(y), —NCO,—N₃, —OR^(y), —OC(O)N(R^(y))₂, —N(R^(y))₂, —NR^(y)C(O)R^(y),—NR^(y)C(O)OR^(y); or an optionally substituted group selected from thegroup consisting of C₁₋₁₂ aliphatic; C₁₋₁₂ heteroaliphatic having 1-4heteroatoms independently selected from the group consisting ofnitrogen, oxygen, and sulfur; 6-10-membered aryl; 5-10-memberedheteroaryl having 1-4 heteroatoms independently selected from nitrogen,oxygen, or sulfur; and 4-7-membered heterocyclic having 1-2 heteroatomsindependently selected from the group consisting of nitrogen, oxygen,and sulfur.

In certain embodiments, R⁶ is hydrogen, halogen, —NO₂, —CN, —SR^(y),—S(O)R^(y), —S(O)₂R^(y), —NR^(y)C(O)R^(y), —OC(O)R^(y), —CO₂R^(y), —NCO,—N₃, —OR^(y), —OC(O)N(R^(y))₂, —N(R^(y))₂, —NR^(y)C(O)R^(y),—NR^(y)C(O)OR^(y); or an optionally substituted group selected from thegroup consisting of C₁₋₁₂ aliphatic; C₁₋₁₂ heteroaliphatic having 1-4heteroatoms independently selected from the group consisting ofnitrogen, oxygen, and sulfur; 6-10-membered aryl; 5-10-memberedheteroaryl having 1-4 heteroatoms independently selected from nitrogen,oxygen, or sulfur; and 4-7-membered heterocyclic having 1-2 heteroatomsindependently selected from the group consisting of nitrogen, oxygen,and sulfur.

In certain embodiments, R⁷ is hydrogen, halogen, —NO₂, —CN, —SR^(y),—S(O)R^(y), —S(O)₂R^(y), —NR^(y)C(O)R^(y), —OC(O)R^(y), —CO₂R^(y), —NCO,—N₃, —OR^(y), —OC(O)N(R^(y))₂, —N(R^(y))₂, —NR^(y)C(O)R^(y),—NR^(y)C(O)OR^(y); or an optionally substituted group selected from thegroup consisting of C₁₋₁₂ aliphatic; C₁₋₁₂ heteroaliphatic having 1-4heteroatoms independently selected from the group consisting ofnitrogen, oxygen, and sulfur; 6-10-membered aryl; 5-10-memberedheteroaryl having 1-4 heteroatoms independently selected from nitrogen,oxygen, or sulfur; and 4-7-membered heterocyclic having 1-2 heteroatomsindependently selected from the group consisting of nitrogen, oxygen,and sulfur.

In certain embodiments, R⁸ is hydrogen, halogen, —NO₂, —CN, —SR^(y),—S(O)R^(y), —S(O)₂R^(y), —NR^(y)C(O)R^(y), —OC(O)R^(y), —CO₂R^(y), —NCO,—N₃, —OR^(y), —OC(O)N(R^(y))₂, —N(R^(y))₂, —NR^(y)C(O)R^(y),—NR^(y)C(O)OR^(y); or an optionally substituted group selected from thegroup consisting of C₁₋₁₂ aliphatic; C₁₋₁₂ heteroaliphatic having 1-4heteroatoms independently selected from the group consisting ofnitrogen, oxygen, and sulfur; 6-10-membered aryl; 5-10-memberedheteroaryl having 1-4 heteroatoms independently selected from nitrogen,oxygen, or sulfur; and 4-7-membered heterocyclic having 1-2 heteroatomsindependently selected from the group consisting of nitrogen, oxygen,and sulfur.

In certain embodiments, R⁹ is hydrogen, halogen, —NO₂, —CN, —SR^(y),—S(O)R^(y), —S(O)₂R^(y), —NR^(y)C(O)R^(y), —OC(O)R^(y), —CO₂R^(y), —NCO,—N₃, —OR^(y), —OC(O)N(R^(y))₂, —N(R^(y))₂, —NR^(y)C(O)R^(y),—NR^(y)C(O)OR^(y); or an optionally substituted group selected from thegroup consisting of C₁₋₁₂ aliphatic; C₁₋₁₂ heteroaliphatic having 1-4heteroatoms independently selected from the group consisting ofnitrogen, oxygen, and sulfur; 6-10-membered aryl; 5-10-memberedheteroaryl having 1-4 heteroatoms independently selected from nitrogen,oxygen, or sulfur; and 4-7-membered heterocyclic having 1-2 heteroatomsindependently selected from the group consisting of nitrogen, oxygen,and sulfur.

In certain embodiments, each occurrence of R⁵, R⁶, R⁷, R⁸, and R⁹ ishydrogen. In certain embodiments, each occurrence of R³, R⁴, R⁵, R⁶, R⁷,R⁸, and R⁹ is hydrogen. In some embodiments, each of R³, R⁴, R⁵, R⁶, andR⁸ is hydrogen

In certain embodiments, each occurrence of R⁷ and R⁹ is an independentlyoptionally substituted group selected from the group consisting of C₁₋₁₂aliphatic and C₁₋₁₂ heteroaliphatic having 1-4 heteroatoms independentlyselected from the group consisting of nitrogen, oxygen, and sulfur. Insome embodiments, R⁷ and R⁹ are optionally substituted C₁₋₁₂ aliphatic.In some embodiments, R⁷ and R⁹ are optionally substituted C₁₋₆aliphatic. In some embodiments, R⁷ and R⁹ are t-butyl.

In certain embodiments, R⁷ and R⁹ are independently a C₁₋₁₂ aliphaticgroup substituted with one or more organic cations, wherein each cationis complexed with an X, as defined herein. It will be appreciated thatany X of an [organic cation][X] substituent is separate and in additionto any X moieties complexed with M. In some embodiments, the organiccation is a quaternary ammonium. In some embodiments, an organic cationsubstituent of a C₁₋₁₂ aliphatic group of R⁷ and R⁹ is selected from

In certain embodiments, X is 2,4-dinitrophenolate anion.

In certain embodiments, provided bimetallic complexes are of formula II:

wherein:

-   -   each of M, X, Q, R¹, R², R³, R⁴, R⁵, R⁶, R⁷, R⁸, R⁹ and n is as        defined in formulae I, I-a, and I-b, and described in classes        and subclasses above and herein;

In some embodiments, the bond between the biaryl linkage for abimetallic complex of formula I, I-a, I-b, or II is of S chirality. Insome embodiments, the bond between the biaryl linkage for a bimetalliccomplex of formula I, I-a, I-b, or II is of R chirality. In someembodiments, the bimetallic complex of formula I, I-a, I-b, or II isnon-racemic. In some embodiments, the bimetallic complex of formula I,I-a, I-b, or II possesses axial chirality. In some embodiments, thebimetallic complex of formula I, I-a, I-b, or II possesses axialsymmetry. In some embodiments, the bimetallic complex of formula I, I-a,I-b, or II is enantiomerically pure. In other embodiments, thebimetallic complex of formula I, I-a, I-b, or II is racemic.

In some embodiments, the bimetallic complex of formula I, I-a, I-b, orII is a catalyst. In certain embodiments, the catalyst is useful forisoselective polymerization of epoxides, as described herein. In certainembodiments, the catalyst is useful for kinetic resolution of epoxides,as described herein.

In certain embodiments, provided bimetallic metal complexes are offormula II-a:

wherein each of n, X, R⁶, R⁷, R⁸, and R⁹ is as defined above anddescribed in classes and subclasses above and herein.

In certain embodiments, provided bimetallic metal complexes are offormula II-b:

wherein n and X are as defined above and described in classes andsubclasses above and herein.

In certain embodiments, provided bimetallic metal complexes are offormula II-c:

wherein each of n, X, R⁶, R⁷, R⁸, and R⁹ is as defined above anddescribed in classes and subclasses above and herein.

In some embodiments, the k_(rel) of a provided bimetallic complex isgreater than 7. In some embodiments, the k_(rel) of a bimetallic complexis greater than 10. In some embodiments, the k_(rel) of a bimetalliccomplex is greater than 20. In some embodiments, the k_(rel) of abimetallic complex is greater than 50. In some embodiments, the k_(rel)of a bimetallic complex is greater than 100. In some embodiments, thek_(rel) of a bimetallic complex is greater than 150. In someembodiments, the k_(rel) of a bimetallic complex is greater than 200. Insome embodiments, the k_(rel) of a bimetallic complex is greater than250. In some embodiments, the k_(rel) of a bimetallic complex is greaterthan 300.

Exemplary Bimetallic Complexes

In certain embodiments, the bimetallic complex is selected from any oneof following:

II. Polymers

According to one aspect, the present invention provides methods ofmaking polymers. In certain embodiments, polymers are provided viapolymerization of an epoxide in the presence of a bimetallic complex,and encompass racemic polyethers, optically enriched polyethers, andoptically pure polyethers. In some embodiments, the polymer is apolyether. In certain embodiments, the polyether is highly isotactic. Incertain embodiments, the polyether is perfectly isotactic. In someembodiments, the polyether is tapered. In some embodiments, thepolyether is a co-polymer. It will be appreciated that the term“compound”, as used herein, includes polymers described by the presentdisclosure.

In one aspect, the present invention provides a method of synthesizing apolyether polymer, the method comprising the step of reacting an epoxidein the presence of any of the above described bimetallic complexes.

In certain embodiments, provided polymers are of the formula:

wherein:

-   -   R^(a) is an optionally substituted group selected from the group        consisting of C₁₋₁₂ aliphatic; C₁₋₁₂ heteroaliphatic having 1-4        heteroatoms independently selected from the group consisting of        nitrogen, oxygen, and sulfur; 6-10-membered aryl; 5-10-membered        heteroaryl having 1-4 heteroatoms independently selected from        nitrogen, oxygen, or sulfur; and 4-7-membered heterocyclic        having 1-2 heteroatoms independently selected from the group        consisting of nitrogen, oxygen, and sulfur; and    -   each of R^(b) and R^(c) is independently hydrogen or an        optionally substituted group selected from the group consisting        of C₁₋₁₂ aliphatic; C₁₋₁₂ heteroaliphatic having 1-4 heteroatoms        independently selected from the group consisting of nitrogen,        oxygen, and sulfur; 6-10-membered aryl; 5-10-membered heteroaryl        having 1-4 heteroatoms independently selected from nitrogen,        oxygen, or sulfur; and 4-7-membered heterocyclic having 1-2        heteroatoms independently selected from the group consisting of        nitrogen, oxygen, and sulfur;    -   wherein any of (R^(a) and R^(c)), (R^(b) and R^(c)), and (R^(a)        and R^(b)) can be taken together with their intervening atoms to        form one or more rings selected from the group consisting of:        -   optionally substituted C₃-C₁₄ carbocycle, optionally            substituted C₃-C₁₄ heterocycle,        -   optionally substituted C₆-C₁₀ aryl, and optionally            substituted C₅-C₁₀ heteroaryl.

Consistent with our earlier disclosure, R^(a) of provided polymers maycomprise a variety of organic substituents, the details of which aredisclosed herein. Provided polymers may also have R^(b) and R^(c)substituents.

In certain embodiments, the polymer comprises a copolymer of twodifferent repeating units where R^(a), R^(b), and R^(c) of the twodifferent repeating units are not all the same. In some embodiments, thepolymer comprises a copolymer of three or more different repeating unitswherein R^(a), R^(b), and R^(c) of each of the different repeating unitsare not all the same as R^(a), R^(b), and R^(c) of any of the otherdifferent repeating units. In some embodiments, the polymer is a randomcopolymer. In some embodiments, the polymer is a tapered copolymer.

In some embodiments, the polymer contains a bimetallic complex offormula I. In some embodiments, the polymer comprises residue of abimetallic complex of formula I. In some embodiments, the polymercomprises a salt of an organic cation and X, wherein X is a nucleophileor counterion. In some embodiments, the organic cation is quaternaryammonium. In some embodiments, X is 2,4-dinitrophenolate anion.

In some embodiments, R^(a) is optionally substituted C₁₋₁₂ aliphatic. Insome embodiments, R^(a) is optionally substituted C₁₋₁₂ heteroaliphatichaving 1-4 heteroatoms independently selected from the group consistingof nitrogen, oxygen, and sulfur. In some embodiments, R^(a) isoptionally substituted 6-10-membered aryl. In some embodiments, R^(a) isoptionally substituted 5-10-membered heteroaryl having 1-4 heteroatomsindependently selected from nitrogen, oxygen, or sulfur. In someembodiments, R^(a) is optionally substituted 4-7-membered heterocyclichaving 1-2 heteroatoms independently selected from the group consistingof nitrogen, oxygen, and sulfur.

In certain embodiments, R^(a) is selected from methyl, ethyl, propyl,butyl, vinyl, allyl, phenyl, trifluoromethyl,

or any two or more of the above. In certain embodiments, R^(a) ismethyl. In certain embodiments, R^(a) is ethyl. In certain embodiments,R^(a) is propyl. In certain embodiments, R^(a) is butyl. In certainembodiments, R^(a) is vinyl. In certain embodiments, R^(a) is allyl. Incertain embodiments, R^(a) is phenyl. In certain embodiments, R^(a) istrifluoromethyl. In certain embodiments, R^(a) is

In certain embodiments, R^(a) is

In certain embodiments, R^(a) is

In certain embodiments, R^(a) is

In certain embodiments, R^(a) is

In certain embodiments, R_(a) is

In certain embodiments, R^(a) is

In some embodiments, R^(a) is other than

In some embodiments, R^(a) is other than

In some embodiments, R^(a) is other than

In some embodiments, R^(a) is other than

In some embodiments, R^(a) is other than

In some embodiments, R^(a) is other than

In some embodiments, R^(a) is other than methyl. In some embodiments,R^(a) is other than ethyl. In some embodiments, R^(a) is other thanpropyl. In some embodiments, R^(a) is other than

In some embodiments, R^(b) is hydrogen. In some embodiments, R^(b) isoptionally substituted C₁₋₁₂ aliphatic. In some embodiments, R^(b) isoptionally substituted C₁₋₁₂ heteroaliphatic having 1-4 heteroatomsindependently selected from the group consisting of nitrogen, oxygen,and sulfur. In some embodiments, R^(b) is optionally substituted6-10-membered aryl. In some embodiments, R^(ip) is optionallysubstituted 5-10-membered heteroaryl having 1-4 heteroatomsindependently selected from nitrogen, oxygen, or sulfur. In someembodiments, R^(ip) is optionally substituted 4-7-membered heterocyclichaving 1-2 heteroatoms independently selected from the group consistingof nitrogen, oxygen, and sulfur.

In some embodiments, R^(c) is hydrogen. In some embodiments, R^(c) isoptionally substituted C₁₋₁₂ aliphatic. In some embodiments, R^(c) isoptionally substituted C₁₋₁₂ heteroaliphatic having 1-4 heteroatomsindependently selected from the group consisting of nitrogen, oxygen,and sulfur. In some embodiments, R^(c) is optionally substituted6-10-membered aryl. In some embodiments, R^(c) is optionally substituted5-10-membered heteroaryl having 1-4 heteroatoms independently selectedfrom nitrogen, oxygen, or sulfur. In some embodiments, R^(c) isoptionally substituted 4-7-membered heterocyclic having 1-2 heteroatomsindependently selected from the group consisting of nitrogen, oxygen,and sulfur.

In some embodiments, R^(a) and R^(c) are taken together with theirintervening atoms to form one or more rings selected from the groupconsisting of: optionally substituted C₃-C₁₄ carbocycle, optionallysubstituted C₃-C₁₄ heterocycle, optionally substituted C₆-C₁₀ aryl, andoptionally substituted C₅-C₁₀ heteroaryl.

In some embodiments, R^(b) and R^(c) are taken together with theirintervening atoms to form one or more rings selected from the groupconsisting of: optionally substituted C₃-C₁₄ carbocycle, optionallysubstituted C₃-C₁₄ heterocycle, optionally substituted C₆-C₁₀ aryl, andoptionally substituted C₅-C₁₀ heteroaryl.

In some embodiments, R^(a) and R^(b) are taken together with theirintervening atoms to form one or more rings selected from the groupconsisting of: optionally substituted C₃-C₁₄ carbocycle, optionallysubstituted C₃-C₁₄ heterocycle, optionally substituted C₆-C₁₀ aryl, andoptionally substituted C₅-C₁₀ heteroaryl.

As described generally above, in certain embodiments, provided polymerare tapered. In certain embodiments, the enantiomeric excess of apolymer chain comprising the polymer decreases from one end of thepolymer chain to the other end of the polymer chain. In someembodiments, the decrease in the enantiomeric excess from one end of thepolymer to the second end of the polymer is gradual.

In some embodiments, the isotacticity of a polymer chain comprising thepolymer is greater near one end of the polymer chain than near the otherend of the polymer chain. In certain embodiments, the isotacticity of apolymer chain comprising the polymer decreases from one end of thepolymer chain to the other end of the polymer chain.

In some embodiments, the isotacticity of the polymer is greater than90%. In some embodiments, the isotacticity of the polymer is greaterthan 95%. In some embodiments, the isotacticity of the polymer isgreater than 97%. In some embodiments, the isotacticity of the polymeris greater than 98%. In some embodiments, the isotacticity of thepolymer is greater than 99%. It will be appreciated that theisotacticity is the overall isotacticity of the polymer.

In some embodiments, the %[mm] triad of the polymer is greater than 90%.In some embodiments, the %[mm] triad of the polymer is greater than 95%.In some embodiments, the %[mm] triad of the polymer is greater than 97%.In some embodiments, the %[mm] triad of the polymer is greater than 98%.In some embodiments, the %[mm] triad of the polymer is greater than 99%.It will be appreciated that the %[mm] triad is the overall %[mm] triadof the polymer.

In some embodiments, the Mn of the polymer is in the range of10,000-25,000. In some embodiments, the Mn of the polymer is in therange of 25,000-50,000. In some embodiments, the Mn of the polymer is inthe range of 50,000-100,000. In some embodiments, the Mn of the polymeris in the range of 100,000-200,000. In some embodiments, the Mn of thepolymer is in the range of 200,000-400,000. In some embodiments, the Mnof the polymer less than 50,000. In some embodiments, the Mn of thepolymer less than 25,000. In some embodiments, the Mn of the polymergreater than 200,000. In some embodiments, the Mn of the polymer greaterthan 300,000. In some embodiments, the Mn of the polymer greater than500,000.

In some embodiments, the PDI of the polymer is less than 3. In someembodiments, the PDI of the polymer is less than 2.5. In someembodiments, the PDI of the polymer is less than 2.2. In someembodiments, the PDI of the polymer is less than 2. In some embodiments,the PDI of the polymer is less than 1.8. In some embodiments, the PDI ofthe polymer is less than 1.6. In some embodiments, the PDI of thepolymer is less than 1.5. In some embodiments, the PDI of the polymer isless than 1.4. In some embodiments, the PDI of the polymer is less than1.3. In some embodiments, the PDI of the polymer is less than 1.2. Insome embodiments, the PDI of the polymer is less than 1.1.

In some embodiments, the T_(g) of the polymer is in the range of −90 to−70° C. In some embodiments, the T_(g) of the polymer is in the range of−70 to −50° C. In some embodiments, the T_(g) of the polymer is in therange of −50 to −20° C. In some embodiments, the T_(g) of the polymer isin the range of −20 to 20° C. In some embodiments, the T_(g) of thepolymer is in the range of 20 to 50° C. In some embodiments, the T_(g)of the polymer is in the range of 50 to 70° C. In some embodiments, theT_(g) of the polymer is in the range of 70 to 100° C. In someembodiments, the T_(g) of the polymer is in the range of 100-120° C. Insome embodiments, the T_(g) of the polymer is in the range of 120-150°C. In some embodiments, the T_(g) of the polymer is above 150° C.

In certain embodiments, the T_(n) of the polymer is in the range of 20to 50° C. In certain embodiments, the T_(n) of the polymer is in therange of 50 to 70° C. In certain embodiments, the T_(n) of the polymeris in the range of 70 to 100° C. In certain embodiments, the T_(n) ofthe polymer is in the range of 100 to 120° C. In certain embodiments,the T_(n) of the polymer is in the range of 120 to 150° C. In certainembodiments, the T_(n) of the polymer is in the range of 150 to 190° C.In certain embodiments, the T_(n) of the polymer is in the range of 190to 210° C. In certain embodiments, the T_(n) of the polymer is above210° C.

In some embodiments, the polymer is optically inactive with m-dyadcontent greater than 80%. In some embodiments, the polymer is opticallyinactive with m-dyad content greater than 90%. In some embodiments, thepolymer is optically inactive with m-dyad content greater than 95%. Insome embodiments, the polymer is optically inactive with m-dyad contentgreater than 97%. In some embodiments, the polymer is optically inactivewith m-dyad content greater than 98%. In some embodiments, the polymeris optically inactive with m-dyad content greater than 99%.

In certain embodiments, the polymer is crystalline. In certainembodiments, the polymer is semi-crytalline. In certain embodiments, thepolymer is amorphous.

In addition to the epoxides described above, one of ordinary skill willappreciate that a variety of epoxides may be polymerized with abimetallic complex of formula I. In certain embodiments, suitableepoxides are derived from naturally occurring materials such asepoxidized resins or oils. Examples of such epoxides include, but arenot limited to: Epoxidized Soybean Oil; Epoxidized Linseed Oil;Epoxidized Octyl Soyate; Epoxidized PGDO; Methyl Epoxy Soyate; ButylEpoxy Soyate; Epoxidized Octyl Soyate; Methyl Epoxy Linseedate; ButylEpoxy Linseedate; and Octyl Epoxy Linseedate. These and similarmaterials are available commercially from Arkema Inc. under the tradename Vikoflex®. Examples of such commerically available Vikoflex®materials include Vikoflex 7170 Epoxidized Soybean Oil, Vikoflex 7190Epoxidized Linseed, Vikoflex 4050 Epoxidized Octyl Soyate, Vikoflex 5075Epoxidized PGDO, Vikoflex 7010 Methyl Epoxy Soyate, Vikoflex 7040 ButylEpoxy Soyate, Vikoflex 7080 Epoxidized Octyl Soyate, Vikoflex 9010Methyl Epoxy Linseedate, Vikoflex 9040 Butyl Epoxy Linseedate, andVikoflex 9080 Octyl Epoxy Linseedate. In certain embodiments, providedpolyethers derived from epoxidized resins or oils are heteropolymersincorporating other epoxide monomers including, but not limited to:ethylene oxide, propylene oxide, butylene oxide, hexene oxide,cyclopentene oxide and cyclohexene oxide. These heteropolymers caninclude random co-polymers, tapered copolymers and block copolymers.

In certain embodiments of the present invention, monomers includeepoxides derived from alpha olefins. Examples of such epoxides include,but are not limited to those derived from C₁₀ alpha olefin, C₁₂ alphaolefin, C₁₄ alpha olefin, C₁₆ alpha olefin, C₁₈ alpha olefin, C₂₀-C₂₄alpha olefin, C₂₄-C₂₈ alpha olefin and C_(m+) alpha olefins. These andsimilar materials are commercially available from Arkema Inc. under thetrade name Vikolox®. Commerically available Vikolox® materials includethose depicted in Table A, below. In certain embodiments, providedpolyethers derived from alpha olefins are heteropolymers incorporatingother epoxide monomers. These heteropolymers can include randomco-polymers, tapered copolymers and block copolymers.

TABLE A Trade Name Formula Minimum Oxirane Vikolox 10 C₁₀H₂₀O 9.0%Vikolox 12 C₁₂H₂₄O 7.8% Vikolox 14 C₁₄H₂₈O 6.8% Vikolox 16 C₁₆H₃₂O 6.0%Vikolox 18 C₁₈H₃₆O 5.4% Vikolox 20-24 C₂₀₋₂₄H₄₀₋₄₈O 4.4% Vikolox 24-28C₂₄₋₂₈H₄₈₋₅₆O 3.25%  Vikolox 30+ C₃₀₊H₆₀O 2.25% 

III. Methods of Polymerization

As generally described above, the present invention provides methods ofsynthesizing polymer compositions from monomers in the presence of abimetallic complex. In some embodiments, polyethers of the presentinvention can be provided via polymerization of epoxides in the presenceof a bimetallic complex. In some embodiments, the polymerization isisoselective.

In certain embodiments, the present invention provides a method forpolymerization, the method comprising:

-   -   a) providing a prochiral epoxide of formula:

wherein:

-   -   R^(a) is an optionally substituted group selected from the group        consisting of C₁₋₁₂ aliphatic; C₁₋₁₂ heteroaliphatic having 1-4        heteroatoms independently selected from the group consisting of        nitrogen, oxygen, and sulfur; 6-10-membered aryl; 5-10-membered        heteroaryl having 1-4 heteroatoms independently selected from        nitrogen, oxygen, or sulfur; and 4-7-membered heterocyclic        having 1-2 heteroatoms independently selected from the group        consisting of nitrogen, oxygen, and sulfur; and    -   each of R^(b) and R^(c) is independently hydrogen or an        optionally substituted group selected from the group consisting        of C₁₋₁₂ aliphatic; C₁₋₁₂ heteroaliphatic having 1-4 heteroatoms        independently selected from the group consisting of nitrogen,        oxygen, and sulfur; 6-10-membered aryl; 5-10-membered heteroaryl        having 1-4 heteroatoms independently selected from nitrogen,        oxygen, or sulfur; and 4-7-membered heterocyclic having 1-2        heteroatoms independently selected from the group consisting of        nitrogen, oxygen, and sulfur;    -   wherein any of (R^(a) and R^(c)), (R^(b) and R^(c)), and (R^(a)        and R^(b)) can be taken together with their intervening atoms to        form one or more rings selected from the group consisting of:        -   optionally substituted C₃-C₁₄ carbocycle, optionally            substituted C₃-C₁₄ heterocycle,        -   optionally substituted C₆-C₁₀ aryl, and optionally            substituted C₅-C₁₀ heteroaryl; and    -   b) treating the epoxide with a bimetallic catalyst under        suitable conditions to form a polymer of formula:

Consistent with our earlier disclosure, R^(a) of epoxides may comprise avariety of organic substituents, the details of which are disclosedherein. Epoxides may also have R^(b) and R^(c) substituents to form 1,1-or 1,2-disubstituted epoxides. While initial experiments have not givengood yields, provided bimetallic complexes may be used according to theinvention to polymerize such 1,1- or 1,2-disubstituted epoxides.

In some embodiments, the bimetallic complex used in step b is abimetallic complex of formula I or a subclass thereof. In someembodiments, the bimetallic complex used in step b is a bimetalliccomplex of formula II or a subclass thereof. In some embodiments, thebimetallic complex is a catalyst. In certain embodiments, the bimetalliccomplex used in step b is selected from:

In certain embodiments, the method may further include, after step (a),adding at least one additional epoxide having the formula

wherein each of the additional epoxide has a structure different fromthe structure of the epoxide provided in step (a) such that the polymerformed in step (b) is a co-polymer of two or more epoxides.

In certain embodiments, the polymerization is carried out with a 50:50mixture of enantiomers of a bimetallic complex to form an opticallyinactive polyether. In other embodiments, the polymerization is carriedout an enantiomerically enriched bimetallic complex to form opticallyactive polyethers. In some embodiments, the polymerization isisoselective. In some embodiments, the bimetallic complex isenantiomerically pure. In some embodiments, the polyether is opticallypure.

While not wishing to be bound by any particular theory, it is believedthat the axial symmetry of provided bimetallic complexes is useful forproviding enantioselective polymerization. In certain embodiments,additional chiral groups may be utilized in provided bimetalliccomplexes to modulate the enantioselectivity of the polymerizationprocess.

While not wishing to be bound by any particular theory, it is believedthat the axial symmetry of provided bimetallic complexes is useful forproviding enantioselective kinetic resolution of epoxides. In certainembodiments, additional chiral groups may be utilized in providedbimetallic complexes to modulate the enantioselectivity of the kineticresolution process.

In certain embodiments, when the bond between the biaryl linkage ofprovided bimetallic complexes is of S chirality, the provided productsof the polymerization comprise polyethers with predominantly S chiralityand epoxides with predominantly R chirality. In certain embodiments,when the bond between the biaryl linkage of provided bimetalliccomplexes is of R chirality, the provided products of the polymerizationcomprise polyethers with predominantly R chirality and epoxides withpredominantly S chirality.

In certain embodiments, the polymer formed in step (b) has anenantiomeric excess greater than 90%. In certain embodiments, thepolymer formed in step (b) has an enantiomeric excess greater than 95%.In certain embodiments, the polymer formed in step (b) has anenantiomeric excess greater than 97%. In certain embodiments, thepolymer formed in step (b) has an enantiomeric excess greater than 98%.In certain embodiments, the polymer formed in step (b) has anenantiomeric excess greater than 99%.

In some embodiments, the %[mm] triad of the polymer formed in step (b)is greater than 90%. In some embodiments, the %[mm] triad of the polymerformed in step (b) is greater than 95%. In some embodiments, the %[mm]triad of the polymer formed in step (b) is greater than 97%. In someembodiments, the %[mm] triad of the polymer formed in step (b) isgreater than 98%. In some embodiments, the %[mm] triad of the polymerformed in step (b) is greater than 99%.

In some embodiments, the k_(rel) of the polymer formed in step (b) isgreater than 7. In some embodiments, the k_(rel) of the polymer formedin step (b) is greater than 10. In some embodiments, the k_(rel) of thepolymer formed in step (b) is greater than 20. In some embodiments, thek_(rel) of the polymer formed in step (b) is greater than 50. In someembodiments, the k_(rel) of the polymer formed in step (b) is greaterthan 100. In some embodiments, the k_(rel) of the polymer formed in step(b) is greater than 150. In some embodiments, the k_(rel) of the polymerformed in step (b) is greater than 200. In some embodiments, the k_(rel)of the polymer formed in step (b) is greater than 250. In someembodiments, the k_(rel) of the polymer is greater than 300.

In certain embodiments, the polymerization is enantioselective. In otherembodiments, the polymerization is not enantioselective. In certainembodiments, the polymerization is living.

In some embodiments, the polymerization is a kinetic resolution. Incertain embodiments, the present invention provides a method of steps(a) and (b) as described above, further comprising the step ofrecovering unreacted epoxide, wherein the recovered epoxide isenantiomerically enriched. In some embodiments, the enantiomeric excessof recovered epoxide is greater than 50%. In some embodiments, theenantiomeric excess of recovered epoxide is greater than 75%. In someembodiments, the enantiomeric excess of recovered epoxide is greaterthan 90%. In some embodiments, the enantiomeric excess of recoveredepoxide is greater than 95%. In some embodiments, the enantiomericexcess of recovered epoxide is greater than 97%. In some embodiments,the enantiomeric excess of recovered epoxide is greater than 98%. Insome embodiments, the enantiomeric excess of recovered epoxide isgreater than 99%.

Reaction Conditions

In certain embodiments, any of the above methods further comprise use ofan effective amount of one or more co-catalysts. In certain embodiments,the co-catalyst is an activating ionic substance. In some embodiments,the ionic substance is bis(triphenylphosphine)iminium.

In certain embodiments, a co-catalyst is a Lewis base. Exemplary Lewisbases include, but are not limited to: N-methylimidazole (N-MeIm),dimethylaminopyridine (DMAP), 1,4-diazabicyclo[2.2.2]octane (DABCO),triethyl amine, and diisopropyl ethyl amine.

In certain embodiments, a co-catalyst is a salt. In certain embodiments,a co-catalyst is an ammonium salt, a phosphonium salt or an arsoniumsalt. In certain embodiments, a co-catalyst is an ammonium salt.Exemplary ammonium salts include, but are not limited to: (n-Bu)₄NCl,(n-Bu)₄NBr, (n-Bu)₄NN₃, [PPN]Cl, [PPN]Br, and [PPN]N₃, Ph₃PCPh₃]Cl[PPN]O(C═O)R^(c) (PPN=Bis(triphenylphosphoranylidene)ammonium)). Incertain embodiments, a co-catalyst is a phosphonium salt. In certainembodiments, the co-catalyst is an arsonium salt.

In certain embodiments, a co-catalyst is the ammonium saltbis(triphenylphosphoranylidene)ammonium chloride ([PPN]Cl). In certainembodiments, a co-catalyst is PPNOAc. In certain embodiments, theco-catalyst is a tributylammonium salt.

In certain embodiments, the anion of a salt co-catalyst has the samestructure as the ligand X of the above described bimetallic complexes offormula I or II, or subsets thereof, wherein X is a nucleophilic ligand.For example, in certain embodiments, the co-catalyst is ([PPN]X) or(n-Bu)₄NX.

In certain embodiments, one or more units of co-catalyst may be tetheredto a bimetallic complex intramolecularly, forming an [organic cation][X]complex, wherein X is a suitable nucleophile or counterion. In certainembodiments, the co-catalyst is tethered as a substituent on a providedbimetallic complex, wherein the substituent is selected from

In certain embodiments, any of the above methods comprise a ratio ofabout 500:1 to about 500,000:1 of epoxide to bimetallic complex. Incertain embodiments, any of the above methods comprise a ratio of about500:1 to about 100,000:1 of epoxide to bimetallic complex. In certainembodiments, any of the above methods comprise a ratio of about 500:1 toabout 50,000:1 of epoxide to bimetallic complex. In certain embodiments,any of the above methods comprise a ratio of about 500:1 to about5,000:1 of epoxide to bimetallic complex. In certain embodiments, any ofthe above methods comprise a ratio of about 500:1 to about 1,000:1 ofepoxide to bimetallic complex.

In certain embodiments, any of the above methods comprise epoxidepresent in amounts between about 0.5 M to about 20 M. In certainembodiments, epoxide is present in amounts between about 0.5 M to about2 M. In certain embodiments, epoxide is present in amounts between about2 M to about 5 M. In certain embodiments, epoxide is present in amountsbetween about 5 M to about 20 M. In certain embodiments, epoxide ispresent in an amount of about 20 M. In certain embodiments, liquidepoxide comprises the reaction solvent. In certain embodiments, one ormore additional epoxides are present at any of the aforementionedconcentrations.

In some embodiments, any of the above methods comprise a bimetalliccomplex present in amounts between about 0.001 M to about 1.0 mole %. Incertain embodiments, a bimetallic complex is present in amounts betweenabout 0.005 M to about 0.5 mole %. In certain embodiments, a bimetalliccomplex is present in amounts between about 0.01 M to about 0.1 mole %.

In certain embodiments, any of the above methods comprise the reactionto be conducted at a temperature of between about −78° C. to about 100°C. In certain embodiments, the reaction is conducted at a temperature ofbetween about −10° C. to about 23° C. In certain embodiments, thereaction is conducted at a temperature of between about 23° C. to about100° C. In certain embodiments, the reaction to be conducted at atemperature of between about 23° C. to about 80° C. In certainembodiments, the reaction to be conducted at a temperature of betweenabout 23° C. to about 50° C. In certain embodiments, the reaction to beconducted at a temperature of about 23° C. In certain embodiments, thereaction to be conducted at a temperature of about 0° C.

In certain embodiments, the reaction step of any of the above methodsdoes not further comprise a solvent.

In certain embodiments, the reaction step of any of the above methodsdoes further comprise one or more solvents. In certain embodiments, thesolvent is an organic solvent. In certain embodiments, the solvent is ahydrocarbon. In certain embodiments, the solvent is an aromatichydrocarbon. In certain embodiments, the solvent is an aliphatichydrocarbon. In certain embodiments, the solvent is a halogenatedhydrocarbon.

In certain embodiments, the solvent is an organic ether. In certainembodiments the solvent is a ketone.

In certain embodiments suitable solvents include, but are not limitedto: methylene chloride, chloroform, 1,2-dichloroethane, propylenecarbonate, acetonitrile, dimethylformamide, N-methyl-2-pyrrolidone,dimethyl sulfoxide, nitromethane, caprolactone, 1,4-dioxane, and1,3-dioxane.

In certain other embodiments, suitable solvents include, but are notlimited to: methyl acetate, ethyl acetate, acetone, methyl ethyl ketone,propylene oxide, tetrahydrofuran, monoglyme, triglyme, propionitrile,1-nitropropane, cyclohexanone. In some embodiments, the solvent istoluene.

IV. Applications

The present disclosure provides isotactic polyethers having a wide rangeof uses. It is well known in the art that isotactic and enantioselectivepolymers may be used in the manufacture of consumer goods such asmaterials for food packaging, electronics, packaging for consumer goods,chiral chromatographic media, polymeric reagents, and polymericcatalysts. In some embodiments, the material is oil resistant. In someembodiments, the material is a film. In some embodiments, the materialis extruded. In some embodiments, the material is thermoformed. One ofordinary skill in the art will be knowledgable of the techniques ofmanufacturing such materials and goods once provided with the bimetalliccomplexes, methods, and polymers of the present disclosure.

EXEMPLIFICATION

As depicted in the Examples below, in certain exemplary embodiments,compounds are prepared according to the following general procedures. Itwill be appreciated that, although the general methods depict thesynthesis of certain compounds of the present invention, the followinggeneral methods, and other methods known to one of ordinary skill in theart, can be applied to all compounds and subclasses and species of eachof these compounds, as described herein.

I. General Considerations.

All manipulations of air or water sensitive compounds were carried outunder dry nitrogen using a Braun Labmaster drybox or standard Schlenkline techniques. ¹H NMR spectra were recorded on a Varian Mercury (1H,300 MHz), Varian INOVA 400 (1H, 400 MHz), or Varian INOVA 500 (1H, 500MHz) spectrometer and referenced with residual non-deuterated solventshifts (CHCl₃=7.26 ppm, benzene-d₅=7.16, acetone-d₅=2.05 ppm,DMSO-d₅=2.54 ppm, 1,1,2,2-tetrachloroethane-d₁=6.0 ppm). ¹³C NMR spectrawere recorded on a Varian INOVA 500 (¹³C, 125 MHz) spectrometer and werereferenced by solvent shifts (CDCl₃=77.23 ppm, benzene-d₆=128.32 ppm,acetone-d₆=29.92 ppm, 1,1,2,2-tetrachloroethane-d₂=73.78 ppm).

II. Polymer Characterization.

Number average molecular weights (M_(n)) and polydispersity indexes(PDI) were measured by high temperature gel-permeation chromatography(GPC) using a Waters Alliance GPCV 2000 size exclusion chromatographequipped with a Waters DRI detector and viscometer. The set of fivesequential columns (four Waters HT 6E and one Waters HT 2) was elutedwith 1,2,4-trichlorobenzene containing approximately 0.01 wt %2,6-di-tert-butylhydroxytoluene (BHT) at 1.0 mL/min. at 140° C. TheWaters viscometer processing method was used for data analysis. The GPCchromatographs generated from the Waters viscometer were calibratedusing polystyrene standards.

Polymer melting points (T_(m)) and glass transition temperatures (T_(g))were measured by differential scanning calorimetry (DSC) using a TAInstruments Q1000 DSC equipped with a LNCS and an automated sampler.Polymer samples were heated under nitrogen from room temperature to 250°C. at a rate of 10° C. per minute and then cooled to −150° C. at 10° C.per minute, followed by heating to 250° C. at 10° C. per minute. Thedata from the second heating run was processed using the TA Q seriessoftware, and peak melting points and glass transition temperatures werereported.

III. Epoxide Enantiomeric Excess.

The enantiomeric excess (ee) of recovered epoxides was determined eitherby chiral gas chromatography (GC) or by ¹H NMR spectroscopy using achiral Schiff reagent to produce diastereomers with different NMRshifts. Gas chromatograms were obtained on a Hewlett-Packard 6890 seriesgas chromatograph using a flame ionization detector, He carrier gas, andone of two chiral columns, depending on the particular epoxide. AnAlltech CHIRALDEX A-TA chiral capillary column (50 m×0.25 mm) was usedfor PO and styrene oxide separation, and a Supelco Lot# 10711-03A chiralbeta-DEX 225 fused silica capillary column (30 m×0.25 m) was used forall other epoxides. In each case pure racemic epoxide was run first onthe GC to confirm separation of enantiomers and retention times. ¹H NMRusing a chiral Schiff reagent was used to obtain the ee of the fewepoxides that would not resolve on either GC chiral column. Undernitrogen in a drybox, a solution was made of Europiumtris[3-(trifluoromethylhydroxymethylene)-(+)-camphorate] as the chiralSchiff reagent in benzene-d₆ (83 mg in 1.5 g, respectively). 0.4 mL ofthis solution was added to an NMR tube, which was sealed with a septumcap. 20 μL, of recovered epoxide was inserted via syringe through theseptum cap (this volume was adjusted for recovered epoxides containingtoluene), and the solution was mixed prior to performing NMRspectroscopy. Optical rotations were measured on a Perkin-Elmer 241digital polarimeter using a sodium lamp.

IV. Polymer Enantiomeric Excess and Tacticity. Derivation of theRelationship Between Polymer Enantiomeric Excess and Isotacticity:

The ¹³C NMR spectrum of PPO shows [mr+rm]:[rr] peak ratios of 2:1,indicating that the catalyst controls stereochemistry through anenantiomorphic-site control mechanism. Since the catalyst polymerizesepoxides via enantiomorphic-site control, the fractional m-dyad content[m] of the polymer is represented by the following equation:

[m]=α ²+(1−α)²  (eq. 1)

where α is the fractional enantioselectivity parameter of the preferredenantiomer (for a perfect catalyst, α=1) (FIG. 1). For (R,R)(S)-1, α isthe probability of incorporating (5) PO, and (1−α) is the probability ofincorporating (R)PO. Since enantiomeric excess is defined asee=(S−R)/(R+S), by inserting a for (S) and (1−α) for (R), an equation isderived for the ee of the polymer in terms of α.

$\begin{matrix}{{ee}_{(p)} = \frac{\alpha - \left( {1 - \alpha} \right)}{\alpha + \left( {1 - \alpha} \right)}} & \left( {{eq}.\mspace{14mu} 2} \right)\end{matrix}$

Equation 2 can be simplified to equation 3, below.

ee _((p))=2α−1  (eq. 3)

Expanding equation 1 gives equation 4.

[m]=2α²−2α+1  (eq. 4)

Rearranging equation 3 gives equation 5, which now can be equated withequation 4.

$\begin{matrix}{{{ee}_{(p)}^{2}/2} = {{2\; \alpha^{2}} - {2\alpha} + \frac{1}{2}}} & \left( {{eq}.\mspace{14mu} 5} \right)\end{matrix}$

Combing equations 4 and 5 gives ee_((p)) in terms of [m].

${\lbrack m\rbrack - 1} = {\frac{{ee}_{(p)}^{2}}{2} - \frac{1}{2}}$

Rearranging gives equation 6, below.

ee _((p))=√{square root over (2[m]1)}  (eq. 6)

The m-dyad is calculated from triads [mm] and [mr+rm] (eq. 7).

$\begin{matrix}{\lbrack m\rbrack = {\lbrack{mm}\rbrack + {\frac{1}{2}\left\lbrack {{mr} + {rm}} \right\rbrack}}} & \left( {{eq}.\mspace{14mu} 7} \right)\end{matrix}$

The ee of the polymer is therefore calculated from the followingequation.

ee _((p))={2[mm]+[mr]+[rm]−1}^(1/2)  (eq. 8)

NMR Quantification of Polymer Tacticity:

In this disclosure, the peaks in the ¹³C NMR spectra of providedpolyethers exhibit fine structure that result from stereochemicaldefects in the polymer chain. The ¹³C NMR spectra of the aliphaticpolyethers synthesized from PO, BO and HO show triad resolution of themethine resonance, which can be integrated and quantified to calculateee_((p)). In some embodiments, provided polyethers exhibit triadresolution of the methine carbon. In certain embodiments, providedpolyethers have significant overlap between the [mm], [mr+rm], and [rr]peaks of the methine resonance. In these cases, the methylene resonancewas used to quantify the triad resolution and calculate ee_((p)). Sincethe mr and rm triads occur in the same region as the ¹³C-¹³C satellitepeaks of the mm triad, the distinct rr triad peak is useful inaccurately calculating ee_((p)) for highly isotactic samples, especiallywhen the mr and rm triads are smaller than the satellite peaks. Theintegration of the rr triad is multiplied by two (to equal the value ofthe mr and rm triads), and this value is subtracted from the integrationof the mm, mr, and rm triads to give the value of the mm triad. Forexample, the ee of PPO can be calculated by separate integrations of thetriads, in which the ¹³C-¹³C satellite peaks need to be subtracted outof the mr+rm peaks (method A), or by integration of the rr triad, fromwhich the value of mr and rm triads can be calculated and subtractedfrom the total integration of mm, mr, and rm (method B) (FIG. 2). Incertain embodiments, this second method is used due to ¹³C NMR baselineseparation of the rr triad peak from the other triad peaks.

Mathematical calculations for methods A and B (below) give the samevalue for the ee_((p)) of PPO. In some embodiments, Method B was used tocalculate the ee_((p)) for other polyethers in this disclosure.

Method A: [From ¹³C NMR integrations of the methine resonances, FIG. 2(a)]

[rr]=5.18/1121.66=0.0046

[mr+rm]=[(27.65+10.9)−(22.32+5.61)]/1121.66=10.62/1121.66=0.0095

[mm]=1105.86/1121.66=0.986

[m]=[mm]+½[mr+rm]=0.991

ee _((p))=½[m]−1=0.991

Method B: [From ¹³C NMR integrations of the methine resonances, FIG. 2(b)]

[rr]=4.96/1054.96=0.0047

[mr+rm]=9.92/1054.96=0.0094

[mm]=1040.08/1054.96=0.986

[m]=[mm]+½[mr+rm]=0.991

ee _((p))=√{square root over (2[m]−1)}=0.991

As described above, in certain embodiments, provided polyethers aretapered, wherein the enantiomeric excess decreases from one end of thepolymer chain to the other. One of ordinary skill will appreciate thatsuch tapering can be observed by removing samples of polymer during thepolymerization reaction, and using NMR techniques known in the art anddescribed herein to show that the defect content increases withconversion.

Further references and techniques for using carbon-13 NMR tocharacterize polymer structures include: Schilling, F C; Tonelli, A E;Macromolecules 1986, 19, 1337-1343; Le Borgne, A; Spassky, N; Jun, C L;Momtaz, A; Makromol. Chem. 1988, 189 637-650; Ugur, M; Alyuruk, K; JPoly Sci A: Polym Chem. 1989, 27, 1749-1761.

V. Materials.

HPLC grade tetrahydrofuran, methylene chloride, and toluene werepurchased from Fisher Scientific and purified over solvent columns.Reagent grade acetone, n-pentane, chloroform, and methanol were used aspurchased. Absolute ethanol was degassed by sparging with dry nitrogen.All epoxides were either purchased from commercial sources orsynthesized following known procedures. Prior to use, the epoxides weredried over calcium hydride, degassed through several freeze-pump-thawcycles, then vacuum transferred and stored under nitrogen in a drybox.Catalysts (R,R)(S)-1 and (S,S)(R)-1 were synthesized similar to thatpreviously reported. (1R,2R)-Diaminocyclohexane (99% ee) and(1S,2S)-Diaminocyclohexane (99% ee) were purchased from Aldrich, and(S)-1,1′-bi-2-naphthol was purchased from TCI. (S)- and(R)-3,3′-diformyl-1,1′-bi-2-napthol, (1R,2R)- and(1S,2S)-2-(3,5-di-tert-butyl-2-hydroxybenzylideneamino)cyclohexanammoniumchloride, and bis(triphenyl-phosphine)iminium acetate ([PPN][OAc]) wereprepared according to literature procedure. All other reagents werepurchased from commercial sources and used as received.

VI. Catalyst Synthesis.

Synthesis of (R,R)(S)-5.

Under a nitrogen atmosphere, 4 Å molecular sieves,(S)-3,3′-diformyl-1,1′-bi-2-napthol (Scheme S1, 4) (3 g, 8.8 mmol), and(1R,2R)-2-(3,5-di-tert-butyl-2-hydroxybenzylideneamino)cyclohexanammoniumchloride (Scheme 1, 3) (6.5 g, 17.7 mmol) were added to a 100 mL roundbottom flask. Dry dichloromethane (60 mL) was added via canula, andtriethylamine (3.6 g, 35.6 mmol) was added via syringe to the roundbottom flask. The solution was stirred under a dry nitrogen atmosphereat room temperature for 3 days. The molecular sieves were then filteredoff, and the orange filtrate was washed with concentrated NH₄Cl (aq).The organic layer was dried over MgSO₄, filtered, and concentrated underpartial vacuum, yielding an orange oil. The ligand was purified bycolumn chromatography, using 10% ethyl acetate in hexanes with 1%triethylamine as the eluting solvent. The ligand decomposes under theacidic conditions of the column, so triethylamine was used to reduceligand degradation. The R_(f) of the desired product was 0.24 using 10%ethyl acetate in hexanes with 1% triethylamine as the TLC solvent.Isolated 1.9 g of pure target ligand as a yellow solid (22% yield).

¹H NMR (CDCl₃, 500 MHz) δ 13.81 (s, 2H), 12.95 (s, 2H), 8.59 (s, 2H),8.23 (s, 2H), 7.82 (s, 2H), 7.73 (m, 2H), 7.32 (d, J=2.5 Hz, 2H), 7.21(m, 4H), 6.99 (m, 2H), 6.98 (d, J=2.4 Hz, 2H), 3.44 (m, 2H), 3.17 (m,2H), 1.98-2.04 (m, 2H), 1.78-1.92 (m, 6H), 1.6-1.74 (m, 4H), 1.49 (s,18H), 1.36-1.47 (m, 4H), 1.25 (s, 18H).

¹³C NMR (CDCl₃, 125 MHz) δ 166.13, 165.33, 157.92, 154.50, 139.89,136.22, 135.01, 133.65, 128.77, 128.07, 127.48, 126.85, 126.20, 124.64,123.11, 120.82, 117.66, 116.14, 72.94, 71.35, 34.98, 34.05, 33.46,32.44, 31.46, 29.46, 24.19, 24.01.

Elemental Analysis: Anal. Calcd for C₆₄H₇₈N₄O₄: C, 79.46; H, 8.13; N,5.79; O, 6.62. Found: C, 79.05; H, 8.37; N, 5.55.

Synthesis of (S,S)(R)-5.

Under a nitrogen atmosphere, 5 Å molecular sieves,(R)-3,3′-diformyl-1,1′-bi-2-napthol (Scheme 1, 4) (0.485 g, 1.4 mmol),and(1S,2S)-2-(3,5-di-tert-butyl-2-hydroxybenzylideneamino)cyclohexanammoniumchloride (Scheme 1, 3) (1 g, 2.7 mmol) were added to a 100 mL roundbottom flask. Dry dichloromethane (60 mL) was added via canula, andtriethylamine (0.574 g, 5.7 mmol) was added via syringe to the roundbottom flask. The solution was stirred under a dry nitrogen atmosphereat room temperature for 4 days. The solution was then filtered throughcelite, after which the orange filtrate was washed with concentratedNH₄Cl (aq). The organic layer was dried over Na₂SO₄, filtered, andconcentrated under partial vacuum, yielding a red-orange oil. The ligandwas purified by column chromatography, using 10% ethyl acetate inhexanes with 1% triethylamine as the eluting solvent. The R_(f) of thedesired product was 0.25 using 10% ethyl acetate in hexanes with 1%triethylamine as the TLC solvent. Isolated 0.44 g of pure target ligandas a yellow solid (32% yield).

¹H NMR (CDCl₃, 500 MHz) δ 13.81 (s, 2H), 12.95 (s, 2H), 8.59 (s, 2H),8.23 (s, 2H), 7.82 (s, 2H), 7.73 (m, 2H), 7.31 (d, J=2.5 Hz, 2H), 7.21(m, 4H), 7.08 (m, 2H), 6.98 (d, J=2.4 Hz, 2H), 3.44 (m, 2H), 3.17 (m,2H), 1.96-2.06 (m, 2H), 1.78-1.92 (m, 6H), 1.6-1.74 (m, 4H), 1.49 (s,18H), 1.36-1.47 (m, 4H), 1.25 (s, 18H).

¹³C NMR (CDCl₃, 125 MHz) δ 166.13, 165.33, 157.92, 154.50, 139.89,136.22, 135.01, 133.65, 128.77, 128.07, 127.48, 126.85, 126.20, 124.64,123.11, 120.82, 117.66, 116.14, 72.94, 71.35, 34.98, 34.05, 33.46,32.44, 31.46, 29.46, 24.19, 24.01.

Synthesis of (R,R)(S)-6.

Under vacuum using the Schlenk line, Co(OAc)₂.4H₂O (0.96 g, 3.9 mmol)was heated in a Schlenk tube until the complex turned color from pink topurple. Absolute ethanol was stirred over 4 Å molecular sieves under anitrogen atmosphere, sparged with nitrogen to degas, and then added (25mL) to the Schlenk tube containing Co(OAc)₂ under nitrogen atmosphere.The solution was bright purple. In a separate round bottom flask under adry nitrogen atmosphere, (R,R)(S)-5 (1.75 g, 1.8 mmol) was dissolved in20 mL of dry methylene chloride. This ligand solution was canulated intothe Schlenk tube containing Co(OAc)₂. The solution instantly turned darkred-brown. The solution was heated to 60° C. under nitrogen for twohours, after which the Schlenk tube was opened to vacuum, and thesolvent was removed under reduced pressure. The dark solids obtainedwere filtered and washed with n-pentane, which removes unreacted ligandas well as acetic acid that formed during the reaction. The red bricksolids were washed with ethanol, then again with pentane, after whichthe powder was dried under vacuum to give 1.31 g of (R,R)(S)-6 (67%yield). Complex (R,R)(S)-6 was generally recrystallized by layering withmethylene chloride and ethanol. An X-ray crystal structure waspreviously reported for complex (R,R)(S)-6. MALDI-TOF mass spectrum:m/z=1080.59, calc.=1080.44.

Synthesis of (S,S)(R)-6.

The same procedure was followed as for (R,R)(S)-6, except ligand(S,S)(R)-5 was used.

Synthesis of (R,R)(S)-1.

Complex (R,R)(S)-6 (1.3 g, 1.2 mmol) was dissolved in 40 mL of methylenechloride in a beaker, and para-toluene sulfonic acid monohydrate (0.487g, 2.6 mmol) was added. The dark brown solution was stirred open to airfor 48 hours, during which all the methylene chloride evaporated. Thedark shiny solids were redissolved in methylene chloride and washed withconcentrated aqueous sodium chloride to exchange the tosylate initiatorfor a chlorine initiator as reported by Jacobsen and coworkers (Nielsenet al., J. Am. Chem. Soc.; 2004; 126(5) pp 1360-1362). This exchange wasconfirmed by elemental analysis. The organic layer was washed threetimes with aqueous sodium chloride, and then dried over MgSO₄ andfiltered. The solution was concentrated under partial pressure and thedark brown solids were washed with pentane to yield 1.02 g of (R,R)(S)-1(73% yield).

¹H NMR (DMSO-d₆, 400 MHz) δ=8.0-8.6 (m, 4H), 7.8-7.9 (m, 2H), 6.8-7.4(m, 12H), 2.8-3.0 (m, 4H), 1.8-2.0 (m, 6H), 1.7 (m, 2H), 1.5 (m, 4H),1.4 (m, 2H), 1.3 (m, 2H), 1.2 (s, 18H), 0.9 (s, 18H).

Elemental Analysis: Anal. Calcd for C₆₄H₇₄Cl₂Co₂N₄O₄: C, 66.72; H, 6.47;Cl, 6.15; Co, 10.23; N, 4.86; O, 5.56. Found: C, 65.43; H, 6.83; Cl,6.62; Co, 9.77; N, 4.6.

Synthesis of (S,S)(R)-1.

The same procedure was followed as for (R,R)(S)-1, except complex(S,S)(R)-6 was used. ¹H NMR (DMSO-d₆, 400 MHz) δ=8.0-8.5 (m, 4H), 7.8(m, 2H), 6.8-7.4 (m, 12H), 2.9 (m, 4H), 1.8-2.0 (m, 6H), 1.7 (m, 2H),1.5 (m, 4H), 1.35 (m, 2H), 1.2 (m, 2H), 1.15 (s, 18H), 0.8 (s, 18H).

VII. Enantioselective Polymerization of Epoxides. RepresentativeProcedure for the Enantioselective Polymerization of Epoxides.Polymerization of Racemic Propylene Oxide (Table 1, Entry 1).

In a drybox under nitrogen atmosphere, (R,R)(S)-1 (8.2 mg, 0.0071 mmol)and [PPN][OAc] (8.5 mg, 0.0142 mmol) were added to a Schlenk tubecontaining a stir bar. A vacuum adaptor was attached to the Schlenktube, and the Schlenk tube was sealed under nitrogen. A glass gas-tightsyringe was used to draw up 2 mL (28.6 mmol) of racemic PO. The syringewas sealed under nitrogen by inserting the needle into a rubber septum.The Schlenk tube and the syringe containing PO were subsequently bothbrought out of the dry box. The Schlenk tube was placed under drynitrogen on the Schlenk line, and subsequently cooled in an ice bath.Dry toluene (12 mL) was added to the Schlenk tube via syringe, and theresulting solution was stirred for 10 minutes at 0° C. The syringecontaining PO was placed into a beaker, and the beaker and syringe weretared on a balance. PO was then added to the Schlenk tube, after whichthe syringe needle was immediately reinserted into the rubber septum.The syringe was placed into the beaker on the balance, and thedifference in weight equaled the weight of the epoxide added to theSchlenk tube. The polymerization was kept at 0° C. during the course ofthe reaction. After 15 minutes unreacted PO was vacuum transferred toanother Schlenk tube cooled in liquid nitrogen. The remaining polymersolution was transferred to a pre-weighed round bottom flask and driedovernight under vacuum. Conversion was determined by polymer mass (0.556g PPO) to be 34%. The ee of recovered PO was measured by chiral gaschromatography to be 51% (R), with t_(R)=14.7 min and t_(S)=15.4 min.The absolute stereoconfiguration was confirmed by running commerciallyavailable (R)PO on the chiral GC. The conditions for separation were:flow, 1.4 mL/min; velocity, 34 cm/sec; pressure, 7 psi; isothermal at40° C. A concentrated sample of PPO in CDCl₃ was made for ¹³C NMRspectroscopy to determine polymer tacticity. 50 mg of polymer wasdissolved in 0.5 mL of CDCl₃. An INOVA 500 Varian spectrometer was usedto obtain the ¹³C NMR spectrum (taken over 2 hrs, with 2000+ scans), aswell as a ¹H NMR spectrum of the dried polymer. Polymer tacticity (FIG.3): [mm]:[mr+rm]:[rr]=[0.986]:[0.0094]:[0.0047]. [m]=0.991, andee_((p))=99.1%. k_(rel(p))=370.

¹³C NMR (CDCl₃, 125 MHz): δ 75.70, 73.61, 17.64.

¹H NMR (CDCl₃, 500 MHz): δ 3.52 (m, 2H), 3.39 (m, 1H), 1.11 (m, 3H).

M_(n)=26,400

PDI=1.8

T_(m)=64° C.

A T_(g) was not detected.

TABLE 1 Enantioselective Polymerization of Epoxides. Time Catalyst Conv.% [mm] Entry Epoxide (min.) (mol %) (%) ee_((SM)) triad ee_((p))k_(rel(p)) Mn PDI Tg (° C.) Tm (° C.) 1

 15 0.025 34 51% 98.6 99.1% 370 26,400 1.8 ND  64 2

 14 0.1 22 29% 98.8 99.2% 330 61,400 2.0 −76 — 3

 20 0.15 19 24% 98.6 99.1% 260 76,800 2.1 ND  53 4

 50 0.05 24 31% 93.4 95.5% 59 7,600 1.5 −62 — 5

 64 0.05 46 77% 86.4 90.5% 47 32,700 2.0 −74  18 6

 11 0.025 36 57% 98.3 98.9% 310 106,200 1.5 ND — 7

 7 0.025 41 80% 97.9 98.6% 280 68,900 1.2 −27 — 8

 32 0.1 45 73% 58.1 66.4% 8 79,300 1.8 −50  62 9

 11 0.15 35 53% 98.6 99.0% 340 45,700 1.9 −69 — 10

17 hrs 0.1 20 26% 94.4 96.1% 63 98,800 1.9   50 — 11

210 0.15 21 26% 97.1 97.9% 120 44,500 2.5   63 — 12

 2 0.1 37 53% 98.7 99.2% 430 ND 121

Polymerization of Racemic Butene Oxide (Table 1, Entry 2).

The polymerization procedure was the same as that for propylene oxideexcept that butene oxide was used. Butene oxide (0.5095 g, 7 mmol) waspolymerized with (R,R)(S)-1 (8 mg, 0.0069 mmol) and [PPN][OAc] (8.3 mg,0.0139 mmol) in dry toluene (2.9 mL). After 14 minutes reaction time,the unreacted butene oxide was vacuum transferred to a Schlenk tubecooled in liquid nitrogen. The ee of recovered BO was determined by ¹HNMR spectroscopy using Europiumtris[3-(trifluoromethylhydroxymethylene)-(+)-camphorate] as the chiralSchiff reagent in benzene-d₆. The NMR peaks were assigned and theabsolute stereochemistry was confirmed by obtaining ¹H NMR spectra ofracemic and commercially available (R) butene oxide using the sameEuropiumtris[3-(trifluoromethylhydroxymethylene)-(+)-camphorate]/benzene-d₆solution. The ee of recovered BO was determined to be 29% (R).Conversion was determined by polymer mass (0.1097 g) to be 22%. Aconcentrated sample of PBO was made in benzene-d₆ for ¹³C NMR analysis.Polymer tacticity (FIG. 4): [mm]:[mr+rm]:[rr]=[0.988]:[0.0079]:[0.0039].[m]=0.992. ee_((p))=99.2%. k_(rel(p))=330.

¹³C NMR (C₆D₆, 125 MHz): δ 81.44, 73.24, 25.69, 10.39.

¹H NMR (C₆D₆, 500 MHz): δ 3.68 (dd, J=10, 5 Hz, 1H), 3.58 (dd, J=10, 6Hz, 1H), 3.41 (quintet, J=6 Hz, 1H), 1.63 (m, 2H), 1.02 (t, J=7.5 Hz,3H).

M_(n): 61,400

PDI: 2.0

T_(g): −76° C.

Polymerization of Racemic Hexene Oxide (Table 1, Entry 3).

The polymerization procedure was the same as that for propylene oxideexcept hexene oxide was used. Hexene oxide (0.5325 g, 5.3 mmol) waspolymerized with (R,R)(S)-1 (8.6 mg, 0.0075 mmol) and [PPN][OAc] (8.9mg, 0.0149 mmol) in dry toluene (1.9 mL). After 20 minutes reaction timeunreacted hexene oxide was vacuum transferred to a Schlenk tube cooledin liquid nitrogen. The ee of recovered HO was determined by ¹H NMRspectroscopy using Europiumtris[3-(trifluoromethylhydroxymethylene)-(+)-camphorate] as the chiralSchiff reagent in benzene-d₆. The NMR peaks were assigned and theabsolute stereochemistry was confirmed by obtaining ¹H NMR spectra ofracemic and commercially available (R) hexene oxide using the sameEuropiumtris[3-(trifluoromethylhydroxymethylene)-(+)-camphorate]/benzene-d₆solution. The ee of recovered HO was determined to be 24% (R).Conversion was determined by polymer mass (0.1016 g) to be 19%. Aconcentrated sample of PHO was made in benzene-d₆ for ¹³C NMR analysis.Polymer tacticity (FIG. 5): [mm]: [mr+rm]:[rr]=[0.986]:[0.009]:[0.0045].[m]=0.991. ee_((p))=99.1%. k_(rel(p))=260.

¹³C NMR (C₆D₆, 125 MHz): δ 80.49, 74.13, 32.89, 28.60, 23.75, 14.81.

¹H NMR (C₆D₆, 500 MHz): δ 3.79 (dd, J=9.5, 4.5 Hz, 1H), 3.64 (dd, J=9.5,5 Hz, 1H), 3.53 (quintet, J=5.5 Hz, 1H), 1.52-1.7 (m, 2H), 1.3-1.5 (m,4H), 0.97 (t, J=7 Hz, 3H).

M_(n): 76,800

PDI: 2.1

T_(m): 53° C.

A T_(g) was not detected.

Polymerization of Racemic Ethyl Glycidyl Ether (Table 1, Entry 4).

The polymerization procedure was the same as that for propylene oxideexcept ethyl glycidyl ether was used. Ethyl glycidyl ether (0.8806 g,8.6 mmol) was polymerized with (R,R)(S)-1 (5.6 mg, 0.0049 mmol) and[PPN][OAc] (5.9 mg, 0.0099 mmol) in dry toluene (4 mL). After 50 minutesreaction time, chloroform (6 mL) was added to the Schlenk tube to stopthe polymerization. Due to the relatively high boiling point of ethylglycidyl ether, the conversion was determined by ¹H NMR spectroscopy. Analiquot of the polymerization solution was taken and added to an NMRtube containing CDCl₃ to determine conversion. Another aliquot was addedto a vial containing chloroform, and a sample of this solution was runon the chiral GC to determine the enantiomeric excess of unreacted ethylglycidyl ether. About 0.2 mL of trace HCl in methanol was added to theremaining polymerization solution to deactivate the catalyst. Thepolymer solution was transferred to a round bottom flask andconcentrated, followed by drying overnight under vacuum on the Schlenkline. Of note, control experiments demonstrated that certainpolymerizations may not proceed in chloroform. Based on ¹H NMR, theconversion to polymer was 24% (only polymer, monomer, and toluene werepresent in the spectrum). The ee of recovered ethyl glycidyl ether wasdetermined by chiral gas chromatography to be 31%, with t_(R)(major)=7.99 min and t_(R) (minor)=8.63 min. The conditions for chiralGC separation were: flow, 2.0 mL/min; velocity, 34 cm/sec; pressure, 10psi; isothermal at 65° C. A concentrated polymer sample was made inbenzene-d₆ for ¹³C NMR analysis. Polymer tacticity (FIG. 6):[mm]:[mr+rm]:[rr]=[0.934]:[0.044]:[0.022]. [m]=0.956. ee_((p))=95.5%.k_(rel(p))=59.

¹³C NMR (C₆D₆, 125 MHz): δ 79.02, 70.74, 70.27, 66.84, 15.38.

¹H NMR (C₆D₆, 500 MHz): δ 3.30-3.54 (m, 7H), 1.05 (t, J=6.5 Hz, 3H).

M_(n): 7,600

PDI: 1.5

T_(g): −62° C.

Polymerization of Racemic n-Butyl Glycidyl Ether (Table 1, Entry 5).

The polymerization procedure was the same as that for propylene oxideexcept n-butyl glycidyl ether was used. n-Butyl glycidyl ether (0.9342g, 7.2 mmol) was polymerized with (R,R)(S)-1 (4.4 mg, 0.0038 mmol) and[PPN][OAc] (4.6 mg, 0.0077 mmol) in dry toluene (2.8 mL). After 64minutes reaction time, chloroform (6 mL) was added to the Schlenk tubeto stop the polymerization. Conversion was determined by ¹H NMRspectroscopy to be 46% (only polymer, monomer, and toluene were presentin the spectrum). The ee of unreacted n-butyl glycidyl ether wasdetermined by chiral gas chromatography to be 77%, with t_(R)(major)=26.05 min and t_(R) (minor)=26.88 min. The conditions for chiralGC separation were: flow, 2.0 mL/min; velocity, 34 cm/sec; pressure, 10psi; isothermal at 65° C. for 25 minutes, followed by an increase intemperature by 20° C./min to 140° C. A concentrated polymer sample wasmade in benzene-d₆ for ¹³C NMR analysis. Polymer tacticity (FIG. 7):[mm]:[mr+rm]:[rr]=[0.864]:[0.091]:[0.045]. [m]=0.910. ee_((p))=90.5%.k_(rel(p))=47.

¹³C NMR (CDCl₃, 125 MHz): δ 79.05, 71.42, 71.10, 70.37, 31.99, 19.50,14.14.

¹H NMR (CDCl₃, 500 MHz): δ 3.38-3.55 (m, 3H), 3.26-3.35 (m, 2H), 1.42(m, 2H), 1.23 (m, 2H), 0.79 (t, J=7.5 Hz, 3H).

M_(n): 32,700 PDI: 2.0

T_(g): −74° C. T_(m): 18° C.

Polymerization of Racemic Allyl Glycidyl Ether (Table 1, Entry 6).

The polymerization procedure was the same as that for propylene oxideexcept allyl glycidyl ether was used. Allyl glycidyl ether (0.9855 g,8.6 mmol) was polymerized with (R,R)(S)-1 (2.5 mg, 0.0022 mmol) and[PPN][OAc] (2.6 mg, 0.0044 mmol) in dry toluene (16.5 mL). Conversionwas determined by ¹H NMR spectroscopy to be 36% (only polymer, monomer,and toluene were present in the spectrum). The ee of unreacted allylglycidyl ether was determined by chiral gas chromatography to be 57%,with t_(R) (major)=17.11 min and t_(R) (minor)=19.07 min. The conditionsfor chiral GC separation were: flow, 2.0 mL/min; velocity, 34 cm/sec;pressure, 10 psi; isothermal at 65° C. A concentrated polymer sample wasmade in benzene-d₆ for ¹³C NMR analysis. Polymer tacticity (FIG. 8):[mm]:[mr+rm]:[rr]=[0.983]:[0.011]:[0.006]. [m]=0.989. ee_((p))=98.9%.k_(rel(p))=310.

¹³C NMR (C₆D₆, 125 MHz): δ 136.06, 116.51, 79.92, 72.70, 71.51, 71.22.

¹H NMR (C₆D₆, 500 MHz): δ 5.88 (m, 1H), 5.27 (dd, J=17, 1 Hz, 1H), 5.08(dd, J=10, 1.5 Hz, 1H), 3.91 (d, J=5 Hz, 2H), 3.80-3.84 (m, 2H),3.74-3.79 (m, 1H), 3.64 (dd, J=10, 4 Hz, 1H), 3.57 (dd, J=10, 5.5 Hz,1H).

M_(n): 106,200 PDI: 1.5

A T_(g) was not detected, and there was no T_(m) in the temperaturerange scanned.

Polymerization of Racemic Furfuryl Glycidyl Ether (Table 1, Entry 7).

The polymerization procedure was the same as that for propylene oxideexcept furfuryl glycidyl ether was used. Furfuryl glycidyl ether (1.665g, 10.8 mmol) was polymerized with (R,R)(S)-1 (2.8 mg, 0.0024 mmol) and[PPN][OAc] (2.9 mg, 0.0049 mmol) in dry toluene (18 mL). Conversion wasdetermined by ¹H NMR spectroscopy to be 41% (only polymer, monomer, andtoluene were present in the spectrum). The ee of unreacted furfurylglycidyl ether was determined by chiral gas chromatography to be 80%,with t_(R) (major)=14.73 min and t_(R) (minor)=15.17 min. The conditionsfor chiral GC separation were: flow, 1.6 mL/min; velocity, 31 cm/sec;pressure, 10 psi; isothermal at 115° C. A concentrated polymer samplewas made in benzene-d₆ for ¹³C NMR analysis. Polymer tacticity (FIG. 9):[mm]: [mr+rm]:[rr]=[0.979]:[0.014]:[0.007]. [m]=0.986. ee_((p))=98.6%.

¹³C NMR (C₆D₆, 125 MHz): δ 152.76, 142.68, 110.47, 109.26, 79.32, 70.61,70.41, 65.27.

¹H NMR (C₆D₆, 500 MHz): δ 7.18 (d, J=1 Hz, 1H), 6.19 (d, J=3 Hz, 1H),6.12 (m, 1H), 4.38 (m, 2H), 3.62-3.76 (m, 4H), 3.54-3.60 (m, 1H).k_(rel(p))=280.

M_(n): 68,900

PDI: 1.2

T_(g): −27° C.

Polymerization of Racemic 3,4-Epoxy-1-Butene (Table 1, Entry 8).

The polymerization procedure was the same as that for propylene oxideexcept 3,4-epoxy-1-butene was used. 3,4-Epoxy-1-butene (0.5650 g, 8.1mmol) was polymerized with (R,R)(S)-1 (8.2 mg, 0.0071 mmol) and[PPN][OAc] (8.5 mg, 0.0142 mmol) in dry toluene (3.1 mL). Conversion wasdetermined by ¹H NMR spectroscopy to be 45% (only polymer, monomer, andtoluene were present in the spectrum). The unreacted 3,4-epoxy-1-butenewas vacuum transferred to a Schlenk tube cooled in liquid nitrogen. Theee of recovered 3,4-epoxy-1-butene was determined by ¹H NMR spectroscopyusing Europium tris[3-(trifluoromethylhydroxymethylene)-(+)-camphorate]as the chiral Schiff reagent in benzene-d₆. The NMR peaks were assignedand the absolute stereochemistry was confirmed by obtaining ¹H NMRspectra of racemic and (R)-3,4-epoxy-1-butene using the same Europiumtris[3-(trifluoromethylhydroxymethylene)-(+)-camphorate]/benzene-d₆solution. (R)-3,4-Epoxy-1-butene was resolved by Jacobsen's hydrolytickinetic resolution (Schaus et al., J. Am. Chem. Soc., 2002, 124(7), pp1307). The ee of recovered 3,4-epoxy-1-butene was determined to be 73%(R). A concentrated polymer sample was made in benzene-d₆ for ¹³C NMRanalysis. Polymer tacticity (FIG. 10): [mm]:[mr+rm]:[rr]=[0.581]:[0.280]:[0.139]. [m]=0.720. ee_((p))=66.4%.k_(rel(p))=8.

¹³C NMR (C₆D₆, 125 MHz): δ 137.11, 117.49, 81.41, 73.10.

¹H NMR (C₆D₆, 500 MHz): δ 5.78 (m, 1H), 5.32 (m, 1H), 5.11 (m, 1H), 3.97(m, 1H), 3.58-3.74 (m, 1H), 3.40-3.50 (m, 1H).

M_(n): 79,300

PDI: 1.8

T_(g): −50° C. T_(m): 62° C.

Polymerization of Racemic 5,6-Epoxy-1-Hexene (Table 1, Entry 9).

The polymerization procedure was the same as that for propylene oxideexcept 5,6-epoxy-1-hexene was used. 5,6-Epoxy-1-hexene (0.5103 g, 5.4mmol) was polymerized with (R,R)(S)-1 (8.8 mg, 0.0069 mmol) and[PPN][OAc] (9.1 mg, 0.0152 mmol) in dry toluene (2 mL). Conversion wasdetermined by ¹H NMR spectroscopy to be 35% (only polymer, monomer, andtoluene were present in the spectrum). The ee of 5,6-epoxy-1-butene wasdetermined by chiral gas chromatography to be 53% (R), with t_(R)=23.57min and t_(S)=24.96 min. The conditions for separation were: flow, 2.6mL/min; velocity, 36 cm/sec; pressure, 10 psi; isothermal at 35° C. Aconcentrated polymer sample was made in benzene-d₆ for ¹³C NMR analysis.Polymer tacticity (FIG. 11):[mm]:[mr+rm]:[rr]=[0.9857]:[0.0095]:[0.0048]. [m]=0.990 ee_((p))=99.0%.k_(rel(p))=340.

¹³C NMR (C₆D₆, 125 MHz): δ 138.84, 114.83, 79.15, 73.31, 31.81, 30.06.

¹H NMR (C₆D₆, 500 MHz): δ 5.87 (ddt, J=17, 10, 6.5 Hz, 1H), 5.13 (dd,J=17, 1.5 Hz, 1H), 5.03 (m, 1H), 3.70 (dd, J=9.5, 5 Hz, 1H), 3.56 (dd,J=9.5, 5.5 Hz, 1H), 3.49 (quintet, J=6 Hz, 1H), 2.27 (m, 2H), 1.70 (m,2H).

M_(n): 45,700

PDI: 1.9

T_(g): −69° C.

Polymerization of Racemic Styrene Oxide (Table 1, Entry 10).

The polymerization procedure was the same as that for propylene oxideexcept styrene oxide was used, and the polymerization was run neat.Styrene oxide (0.5295 g, 4.4 mmol) was polymerized with (R,R)(S)-1 (4.8mg, 0.0042 mmol) and [PPN][OAc] (5.0 mg, 0.0084 mmol). Conversion wasdetermined by polymer mass (0.1086 g) to be 20%. The ee of unreactedstyrene oxide was determined by chiral gas chromatography to be 26% (R),with t_(S)=16.51 min and t_(R)=16.89 min. The absolutestereoconfiguration was confirmed by running commercially available (R)styrene oxide on the chiral GC. The conditions for separation were:flow, 1.7 mL/min; velocity, 32 cm/sec; pressure, 10 psi; isothermal at90° C. A concentrated polymer sample was made in CDCl₃ for ¹³C NMRanalysis. Polymer tacticity (FIG. 12):[mm]:[mr+rm]:[rr]=[0.944]:[0.038]:[0.019]. [m]=0.962 ee_((p))=96.1%.k_(rel(p))=63.

¹³C NMR (CDCl₃, 125 MHz): δ 139.84, 128.32, 127.67, 127.13, 81.99,74.40.

¹H NMR (C₆D₆, 500 MHz): δ 7.26 (m, 2H), 7.14 (m, 2H), 7.07 (m, 1H), 4.51(dd, J=7.5, 3.5 Hz, 1H), 3.69 (dd, J=10.5, 8 Hz, 1H), 3.47 (dd, J=10,3.5 Hz, 1H).

M_(n): 98,800

PDI: 1.9

T_(g): 50° C.

Polymerization of Racemic 2-(4-Chlorophenyl)-Oxirane (Table 1, Entry11).

The polymerization procedure was the same as that for propylene oxideexcept 2-(4-chlorophenyl)-oxirane was used, and the polymerization wasrun neat in the presence of air. 2-(4-chlorophenyl)-oxirane (0.7382 g,4.8 mmol) was polymerized with (R,R)(S)-1 (8.9 mg, 0.0077 mmol) and[PPN][OAc] (9.3 mg, 0.0156 mmol). Conversion was determined by ¹H NMRspectroscopy to be 21%. The ee of unreacted 2-(4-chlorophenyl)-oxiranewas determined by chiral gas chromatography to be 26% (R), witht_(S)=31.81 min and t_(R)=31.99 min. The conditions for separation were:flow, 1.7 mL/min; velocity, 32 cm/sec; pressure, 10 psi; isothermal at90° C. for 25 min, followed by increasing temperature by 20° C./min to140° C. A concentrated polymer sample was made in CDCl₃ for ¹³C NMRanalysis. Polymer tacticity (FIG. 13):[mm]:[mr+rm]:[rr]=[0.971]:[0.019]:[0.0095]. [m]=0.980 ee_((p))=97.9%.k_(rel(p))=120.

¹³C NMR (CDCl₃, 125 MHz): δ 137.85, 133.67, 128.64, 128.41, 81.35,73.94.

¹H NMR (C₆D₆, 125 MHz): δ 7.14-7.18 (m, 2H), 6.96-7.0 (m, 2H),4.27-4.33, (m, 1H), 3.44-3.50 (m, 1H), 3.26-3.32 (m, 1H).

M_(n): 44,500

PDI: 2.5

T_(g): 63° C.

Polymerization of Racemic 1,1,1-trifluoro-2,3-epoxypropane (Table 1,Entry 12).

The polymerization procedure was the same as that for propylene oxideexcept 1,1,1-trifluoro-2,3-epoxypropane was used, and the polymerizationwas run neat. 1,1,1-Trifluoro-2,3-epoxypropane (1.790 g, 16.0 mmol) waspolymerized with (R,R)(S)-1 (10.3 mg, 0.0089 mmol) and [PPN][OAc] (10.7mg, 0.0179 mmol). After 2 minutes reaction time the unreacted1,1,1-trifluoro-2,3-epoxypropane was vacuum transferred to a Schlenktube cooled in liquid nitrogen. Conversion was determined by polymermass (0.6657 g) to be 37%. The ee of unreacted1,1,1-trifluoro-2,3-epoxypropane was determined by optical rotation tobe 53% ee of the (5) enantiomer, with [α]²⁴ _(D)=−6.463° (c=5.88,CHCl₃), by comparison with literature reports. [>99% ee (S), [α]²⁴_(D)=−12.3° (c=8.4, CHCl₃)]. A concentrated polymer sample was made inacetone-d₆ for ¹³C NMR analysis. Polymer tacticity (FIG. 14):[mm]:[mr+rm]:[rr]=[0.987]:[0.0084]:[0.0042]. [m]=0.9916 ee_((p))=99.2%.k_(rel(p))=430.

¹³C NMR (Acetone-d₆, 125 MHz): δ 125.0 (quartet, J=2245, 1122 Hz, CF₃),78.80 (quartet, J=237, 121 Hz, CHCF₃), 71.46.

¹H NMR (Acetone-d₆, 500 MHz): δ 4.35 (m, 1H), 4.21 (dd, J=10.5, 3 Hz,1H), 4.05 (dd, J=10.5, 7.5 Hz, 1H).

T_(m): 121° C.

VIII. Synthesis of Isotactic Polyethers Using Racemic Catalyst.Representative Procedure for the Synthesis of Isotactic Polyethers.Synthesis of PPO (Table 2, Entry 1).

In a dry box under a nitrogen atmosphere, (R,R)(S)-1 and (S,S)(R)-1 weredissolved in a 50:50 ratio in dry toluene to make a stock solution ofracemic catalyst (18.3 mg of (R,R)(S)-1 and 18.3 mg of (S,S)(R)-1 in 7.5mL of toluene). The calculated amount of racemic catalyst solution (2 mgof racemic catalyst, 0.0017 mmol, 0.41 mL of the solution) and [PPN]OAc(2.1 mg, 0.0035 mmol) were added to a 4 mL vial containing a stir bar.PO was previously cooled to −24° C. in a freezer in the dry box. PO (0.1g, 1.7 mmol) was added by syringe to the vial, and dry toluene (1.2 mL)was added to bring the concentration of PO to 1M in toluene. The 4 mLvial was sealed under nitrogen with a Teflon cap, and then brought outof the dry box to stir at 0° C. in an ice bath. After 3.5 hrs,conversion was determined to be >99% to PPO by ¹H NMR analysis. Thecrude polymer solution was then concentrated under vacuum overnight. 50mg of dried polymer was dissolved in 0.5 mL of benzene-d₆ for ¹³C NMRanalysis. The ¹³C NMR spectrum was taken over 2 hours, with 2000+ scans.Polymer tacticity (FIG. 15): %[mm] triad=>99%. Peaks corresponding toerror in polymer stereoconfiguration ([mr], [rm], [rr]) were notdetected by ¹³C NMR.

¹³C NMR (C₆D₆, 125 MHz): δ 76.40, 74.43, 18.41.

¹H NMR (C₆D₆, 500 MHz): δ 3.57 (m, 2H), 3.40 (m, 1H), 1.17 (d, J=5 Hz,3H).

M_(n): 86, 800 PDI: 1.6

T_(m): 67° C.

A T_(g) was not detected.

TABLE 2 Synthesis of Isotactic Polyethers. Time Conv. % [mm] EntryEpoxide (hrs) (%) triad Mn PDI Tg (° C.) Tm (° C.) 1

3.5 >99 >99 86,800 1.6 ND  67 2

38 >99 >99 183,000 1.6 −70    22 3

15 >99 >99 282,000 1.5 ND  57 4

21 >99 73 200,000 1.6 −46    66 5

84 >99 94 105,000 1.9 −77    21 6

3.5 >99 97 137,000 1.6 −74   — 7

13 >99 91 406,000 1.5 −36    30 8

0.5 >99 >99 105,000 1.5 112  193 9

12 >99 93 69,200 1.5 16 — 10

2 >99 90 65,000 1.6 17 — 11

5 >99 96 97,700 1.7 49 — 12

12 >99 98 120,500 1.6 50 196 13

14.5 >99 98 ND 119

Synthesis of PBO (Table 2, Entry 2).

The polymerization procedure was the same as that for propylene oxide,except butene oxide was used. Racemic catalyst solution (1.6 mg ofracemic catalyst, 0.0014 mmol) and [PPN]OAc (1.7 mg, 0.0028 mmol) wereadded to a 4 mL vial containing a stir bar. BO was previously cooled to−24° C. in a freezer in the dry box. BO (0.1 g, 1.4 mmol) was added bysyringe to the vial, and dry toluene (0.94 mL) was added to bring theconcentration of BO to 1 M in toluene. Conversion was determined tobe >99% to PBO by ¹H NMR analysis. The crude polymer solution was thenconcentrated under vacuum overnight. Polymer tacticity (FIG. 16): %[mm]triad=>99%. Note: small peaks due to toluene are present in thespectrum. Peaks corresponding to error in polymer stereoconfiguration([mr], [rm], [rr]) were not detected by ¹³C NMR.

¹³C NMR (C₆D₆, 125 MHz): δ 81.45, 73.26, 25.70, 10.39.

(toluene: δ 138.22, 129.66, 128.90, 126.03, 21.77.)

¹H NMR (C₆D₆, 500 MHz): δ 3.67 (dd, J=9.5, 4.5 Hz, 1H), 3.57 (dd, J=9.5,6 Hz, 1H), 3.40 (quintet, J=5.5 Hz, 1H), 1.55-1.69 (m, 2H), 1.02 (t,J=7.5 Hz, 3H).

M_(n): 183,000

PDI: 1.6

T_(g): −70° C. T_(m): 22° C.

Synthesis of PHO (Table 2, Entry 3).

The polymerization procedure was the same as that for propylene oxide,except hexene oxide was used. Racemic catalyst solution (1.2 mg ofracemic catalyst, 0.001 mmol) and [PPN]OAc (1.2 mg, 0.002 mmol) wereadded to a 4 mL vial containing a stir bar. HO was previously cooled to−24° C. in a freezer in the dry box. HO (0.1 g, 1.0 mmol) was added bysyringe to the vial, and dry toluene (0.64 mL) was added to bring theconcentration of HO to 1 M in toluene. Conversion was determined tobe >99% to PHO by ¹H NMR analysis. The crude polymer solution was thenconcentrated under vacuum overnight. Polymer tacticity (FIG. 17): %[mm]triad=>99%. Peaks corresponding to error in polymer stereoconfiguration([mr], [rm], [rr]) were not detected by ¹³C NMR.

¹³C NMR (C₆D₆, 125 MHz): δ 80.49, 74.15, 32.91, 28.60, 23.75, 14.81.

¹H NMR (C₆D₆, 500 MHz): δ 3.79 (dd, J=9.5, 4 Hz, 1H), 3.65 (m, 1H), 3.54(m, 1H), 1.52-1.70 (m, 4H), 1.34-1.50 (m, 2H), 0.97 (t, J=7.5 Hz, 3H).

M_(n): 282,000

PDI: 1.5

T_(m): 57° C.

A T_(g) was not detected.

Synthesis of Poly(3,4-Epoxy-1-Butene) (Table 2, Entry 4).

The polymerization procedure was the same as that for propylene oxide,except 3,4-epoxy-1-butene was used. Racemic catalyst (8.2 mg, 0.0071mmol) and [PPN]OAc (8.6 mg, 0.0144 mmol) were added to a 4 mL vialcontaining a stir bar. 4-Epoxy-1-butene (1 g, 14.3 mmol), previouslycooled to −24° C. in a freezer in the dry box, was added by syringe tothe vial. Dry toluene (1.7 mL) was added to bring the concentration of3,4-epoxy-1-butene to 1M in toluene. Conversion was determined tobe >99% to poly(3,4-epoxy-1-butene) by ¹H NMR analysis. The crudepolymer solution was then concentrated under vacuum overnight. Polymertacticity (FIG. 18): [mm]:[mr+rm]:[rr]=[0.733]:[0.178]:[0.089]. %[mm]triad=73.3%.

¹³C NMR (CDCl₃, 125 MHz): δ 136.22, 117.64, 80.84, 72.27.

¹H NMR (CDCl₃, 500 MHz): δ 5.62 (ddt, J=13, 10, 7 Hz, 1H), 5.18 (m, 1H),5.09 (m, 1H), 3.81 (m, 1H), 3.47 (dd, J=10.5, 6.5 Hz, 1H), 3.30 (dd,J=15.5, 4.5 Hz, 1H).

M_(n): 200,000

PDI: 1.6

T_(g): −46° C. T_(m): 66° C.

Synthesis of Poly(n-Butyl Glycidyl Ether) (Table 2, Entry 5).

The polymerization procedure was the same as that for propylene oxide,except n-butyl glycidyl ether was used. Racemic catalyst solution (1.8mg of racemic catalyst, 0.0016 mmol) and [PPN]OAc (1.8 mg, 0.003 mmol)were added to a 4 mL vial containing a stir bar. n-Butyl glycidyl ether(0.2 g, 1.5 mmol), previously cooled to −24° C. in a freezer in the drybox, was added by syringe to the vial. Dry toluene (0.96 mL) was addedto bring the concentration of n-butyl glycidyl ether to 1 M in toluene.Conversion was determined to be >99% to poly(n-butyl glycidyl ether) by¹H NMR analysis. The crude polymer solution was then concentrated undervacuum overnight. Polymer tacticity (FIG. 19): [mm]:[mr+rm]:[rr]=[0.944]:[0.037]:[0.019]. %[mm] triad=94.4%.

¹³C NMR (C₆D₆, 125 MHz): δ 80.01, 32.76, 20.18, 14.58.

¹H NMR (C₆D₆, 500 MHz): δ 3.78-3.90 (m, 3H), 3.68 (dd, J=10.5, 4.5 Hz,1H), 3.60 (dd, J=9.5, 5.5 Hz, 1H), 3.41 (t, J=6.5 Hz, 2H), 1.58 (m, 2H),1.41 (m, 2H), 0.93 (t, J=7 Hz, 3H).

M_(n): 105,000

PDI: 1.9

T_(g): −77° C. T_(m): 21° C.

Synthesis of Poly(Allyl Glycidyl Ether) (Table 2, Entry 6).

The polymerization procedure was the same as that for propylene oxide,except allyl glycidyl ether was used. Racemic catalyst solution (2.0 mgof racemic catalyst, 0.0017 mmol) and [PPN]OAc (2.1 mg, 0.0035 mmol)were added to a 4 mL vial containing a stir bar. Allyl glycidyl ether(0.2 g, 1.8 mmol), previously cooled to −24° C. in a freezer in the drybox, was added by syringe to the vial. Dry toluene (1.1 mL) was added tobring the concentration of allyl glycidyl ether to 1 M in toluene.Conversion was determined to be >99% to poly(allyl glycidyl ether) by ¹HNMR analysis. The crude polymer solution was then concentrated undervacuum overnight. Polymer tacticity (FIG. 20):[mm]:[mr+rm]:[rr]=[0.974]:[0.017]:[0.009]. %[mm] triad=97.4%.

¹³C NMR (C₆D₆, 125 MHz): δ 135.99, 116.43, 79.85, 72.62, 71.44, 71.15.

¹H NMR (C₆D₆, 500 MHz): δ 5.91 (m, 1H), 5.28 (m, 1H), 5.10 (m, 1H),3.90-3.95 (m, 2H), 3.74-3.86 (m, 3H), 3.54-3.68 (m, 2H).

M_(n): 137,000

PDI: 1.6

T_(g): −74° C.

Synthesis of Poly(Tert-Butyl-Dimethylsilyl Glycidyl Ether) (Table 2,Entry 7).

The polymerization procedure was the same as that for propylene oxide,except tert-butyl-dimethylsilyl glycidyl ether was used. Racemiccatalyst solution (1.2 mg of racemic catalyst, 0.0011 mmol) and [PPN]OAc(1.3 mg, 0.0022 mmol) were added to a 4 mL vial containing a stir bar.tert-Butyl-dimethylsilyl glycidyl ether (0.2 g, 1.1 mmol), previouslycooled to −24° C. in a freezer in the dry box, was added by syringe tothe vial. Dry toluene (0.6 mL) was added to bring the concentration oftert-butyl-dimethylsilyl glycidyl ether to 1 M in toluene. Conversionwas determined to be >99% to poly(tert-butyl-dimethylsilyl glycidylether) by ¹H NMR analysis. The crude polymer solution was thenconcentrated under vacuum overnight. Polymer tacticity (FIG. 21):[mm]:[mr+rm]:[rr]=[0.907]:[0.062]:[0.031]. %[mm] triad=90.7%.

¹³C NMR (C₆D₆, 125 MHz): δ 81.54, 70.85, 64.37, 26.65, 18.98, −4.63.

¹H NMR (C₆D₆, 500 MHz): δ 3.92 (m, 1H), 3.85 (m, 3H), 3.68 (m, 1H), 1.07(m, 9H), 0.19 (m, 6H).

M_(n): 406,000

PDI: 1.5

T_(g): −36° C. T_(m): 30° C.

Synthesis of Poly(Phenyl Glycidyl Ether) (Table 2, Entry 8).

The polymerization procedure was the same as that for propylene oxide,except phenyl glycidyl ether was used. Racemic catalyst solution (1.5 mgof racemic catalyst, 0.0013 mmol) and [PPN]OAc (1.6 mg, 0.0027 mmol)were added to a 4 mL vial containing a stir bar. Phenyl glycidyl etherwas previously cooled to −24° C. in a freezer in the dry box. Phenylglycidyl ether (0.2 g, 1.3 mmol) was added by syringe to the vial, anddry toluene (0.85 mL) was added to bring the concentration of phenylglycidyl ether to 1M in toluene. Conversion was determined to be >99% topoly(phenyl glycidyl ether) by ¹H NMR analysis. The crude polymersolution was then concentrated under vacuum overnight. Of note, thepolymer was very insoluble in most solvents. NMR spectra were obtainedin deuterated 1,1,2,2-tetrachloroethane at 120° C. Polymer tacticity(FIG. 22): %[mm] triad=>99%. Peaks corresponding to error in polymerstereoconfiguration ([mr], [rm], [rr]) were not detected by ¹³C NMR.

¹³C NMR (1,1,2,2-tetrachloroethane-d₂, 125 MHz, 120° C.): δ 158.86,129.19, 120.78, 114.94, 78.45, 70.05, 68.51.

¹H NMR (1,1,2,2-tetrachloroethane-d₂, 500 MHz, 120° C.): δ 7.19-7.26 (m,2H), 6.86-6.96 (m, 3H), 4.09 (m, 1H), 4.03 (m, 1H), 3.74-3.88 (m, 3H).

M_(n): 105,000

PDI: 1.5

T_(g): 112° C. T_(m): 193° C.

Synthesis of Poly(2,3-Epoxypropyl Benzoate) (Table 2, Entry 9).

The polymerization procedure was the same as that for propylene oxide,except 2,3-epoxypropyl benzoate was used. Racemic catalyst solution (1.3mg of racemic catalyst, 0.0011 mmol) and [PPN]OAc (1.3 mg, 0.0022 mmol)were added to a 4 mL vial containing a small stir bar. 2,3-Epoxypropylbenzoate (0.2 g, 1.1 mmol), previously cooled to −24° C. in a freezer inthe dry box, was added by syringe to the vial. Dry toluene (0.8 mL) wasadded to bring the concentration of 2,3-epoxypropyl benzoate to 1 M intoluene. Conversion was determined to be >99% to poly(2,3-epoxypropylbenzoate) by ¹H NMR analysis. The crude polymer solution was thenconcentrated under vacuum overnight. Polymer tacticity (FIG. 23):[mm]:[mr+rm]:[rr]=[0.925]:[0.050]:[0.025]. %[mm] triad=92.5%. Note:residual toluene is present in the NMR spectrum.

¹³C NMR (CDCl₃, 125 MHz): δ 166.28, 133.17, 130.06, 129.72, 128.55,77.88, 70.09, 64.17.

(toluene: δ 137.84, 129.22, 128.41, 125.42, 21.55.)

¹H NMR (CDCl₃, 500 MHz): δ 7.84 (m, 2H), 7.33 (m, 1H), 7.22 (m, 2H),4.31 (m, 1H), 4.17 (m, 1H), 3.60 (m, 3H).

M_(n): 69,200

PDI: 1.5

T_(g): 16° C.

Synthesis of Poly(Allyl Oxiran-2-Ylmethyl Carbonate) (Table 2, Entry10).

The polymerization procedure was the same as that for propylene oxide,except allyl oxiran-2-ylmethyl carbonate was used. Racemic catalystsolution (1.5 mg of racemic catalyst, 0.0013 mmol) and [PPN]OAc (1.5 mg,0.0025 mmol) were added to a 4 mL vial containing a small stir bar.Allyl oxiran-2-ylmethyl carbonate (0.2 g, 1.3 mmol), previously cooledto −24° C. in a freezer in the dry box, was added by syringe to thevial. Dry toluene (0.9 mL) was added to bring the concentration of allyloxirane-2-ylmethyl carbonate to 1 M in toluene. Conversion wasdetermined to be >99% to poly(allyl oxirane-2-ylmethyl carbonate) by ¹HNMR analysis. The crude polymer solution was then concentrated undervacuum overnight. Polymer tacticity (FIG. 24):[mm]:[mr+rm]:[rr]=[0.895]:[0.070]:[0.035]. %[mm] triad=89.5%.

¹³C NMR (C₆D₆, 125 MHz): δ 155.80, 132.70, 118.79, 78.21, 70.0, 68.81,67.83.

¹H NMR (C₆D₆, 500 MHz): δ 5.80 (ddt, J=17, 11, 5 Hz, 1H), 5.22 (dd,J=17.5, 1.5 Hz, 1H), 5.05 (m, 1H), 4.52 (d, J=5.5 Hz, 2H), 4.42 (dd,J=11, 2.5 Hz, 1H), 4.28 (dd, J=11, 5 Hz, 1H), 3.61 (m, 3H).

M_(n): 65,000

PDI: 1.6

T_(g): 17° C.

Synthesis of Poly(Styrene Oxide) (Table 2, Entry 11).

The polymerization procedure was the same as that for propylene oxide,except styrene oxide was used, and the polymerization was run in thepresence of air. Racemic catalyst (4.0 mg, 0.0035 mmol) and [PPN]OAc(4.0 mg, 0.007 mmol) were added to a 4 mL vial containing a small stirbar. Styrene oxide (0.2 g, 1.7 mmol), previously cooled to −24° C. in afreezer in the dry box, was added by syringe to the vial. Dry toluene(0.63 mL) was added to make the concentration of styrene oxide 1 M intoluene. Conversion was determined to be >99% to poly(styrene oxide) by¹H NMR analysis. The crude polymer solution was then concentrated undervacuum overnight. Polymer tacticity (FIG. 25): [mm]:[mr+rm]:[rr]=[0.963]:[0.024]:[0.012]. %[mm] triad=96.3%. The ¹³C NMRortho carbon resonance was used to determine the polymer tacticity dueto better baseline resolution of the [rr] peak.

¹³C NMR (CDCl₃, 125 MHz): δ 139.88, 128.32, 127.67, 127.12, 82.0, 74.44.

¹H NMR (CDCl₃, 500 MHz): δ 7.24-7.27 (m, 2H), 7.14-7.21 (m, 3H), 4.38(dd, J=9, 4.5 Hz, 1H), 3.50 (dd, J=12.5, 10 Hz, 1H), 3.36 (dd, J=13.5, 5Hz, 1H).

M_(n): 97,700

PDI: 1.7

T_(g): 49° C.

Synthesis of Poly(2-(4-Fluorophenyl)-Oxirane) (Table 2, Entry 12).

The polymerization procedure was the same as that for propylene oxide,except 2-(4-fluorophenyl)-oxirane was used, and the polymerization wasrun in the presence of air. Racemic catalyst solution (1.7 mg of racemiccatalyst, 0.0014 mmol) and [PPN]OAc (1.7 mg, 0.0028 mmol) were added toa 4 mL vial containing a stir bar. 2-(4-Fluorophenyl)-oxirane (0.2 g,1.4 mmol), previously cooled to −24° C. in a freezer in the dry box, wasadded by syringe to the vial. Dry toluene (0.94 mL) was added to bringthe concentration of 2-(4-fluorophenyl)-oxirane to 1 M in toluene.Conversion was determined to be >99% to poly(2-(4-fluorophenyl)-oxirane)by ¹H NMR analysis. The crude polymer solution was then concentratedunder vacuum overnight. NMR spectra were obtained in deuterated1,1,2,2-tetrachloroethane at 120° C. Note: peaks due to residual tolueneare present in the ¹³C NMR spectrum. Polymer tacticity (FIG. 26):[mm]:[mr+rm]:[rr]=[0.975]:[0.016]:[0.008]. %[mm] triad=97.5%.

¹³C NMR (1,1,2,2-tetrachloroethane-d₆, 125 MHz, 120° C.): δ 163.14,161.18, 135.37, 128.32 (d, J=31 Hz), 114.71 (d, J=85 Hz), 81.06.

(toluene: δ 137.63, 128.85, 128.02, 125.13, 21.08.)

¹H NMR (1,1,2,2-tetrachloroethane-d₆, 500 MHz): δ 7.12-7.19 (m, 2H),6.91-7.0 (m, 2H), 4.30 (m, 1H), 3.50 (m, 1H), 3.39 (m, 1H).

M_(n): 120,000

PDI: 1.6

T_(g): 50° C. T_(m): 196° C.

Synthesis of Poly(1,1,1-Trifluoro-2,3-Epoxypropane) (Table 2, Entry 13).

The polymerization procedure was the same as that for propylene oxide,except 1,1,1-trifluoro-2,3-epoxypropane was used. Racemic catalyst (5.2mg, 0.0045 mmol) and [PPN]OAc (5.3 mg, 0.0089 mmol) were added to a 4 mLvial containing a stir bar. 1,1,1-Trifluoro-2,3-epoxypropane (0.5 g, 4.5mmol), previously cooled to −24° C. in a freezer in the dry box, wasadded by syringe to the vial. Dry toluene (1.85 mL) was added to makethe concentration of 1,1,1-trifluoro-2,3-epoxypropane 1 M in toluene.Conversion was determined to be >99% topoly(1,1,1-trifluoro-2,3-epoxypropane) by ¹H NMR analysis. The crudepolymer solution was then concentrated under vacuum overnight. NMRspectra were obtained in acetone-d₆. Polymer tacticity (FIG. 27):[mm]:[mr+rm]:[rr]=[0.981]:[0.013]:[0.006]. %[mm] triad=98.1%.

¹³C NMR (Acetone-d₆, 125 MHz): δ 125.0 (quartet, J=2246, 1123 Hz, CF₃),78.80 (quartet, J=237, 118 Hz, CHCF₃), 71.46.

¹H NMR (Acetone-d₆, 500 MHz): δ 4.32 (m, 1H), 4.18 (dd, J=11, 3 Hz, 1H),4.02 (dd, J=11, 7 Hz, 1H).

T_(m): 119° C.

A T_(g) was not detected.

While we have described a number of embodiments of this invention, it isapparent that our basic examples may be altered to provide otherembodiments that utilize the compounds and methods of this invention.Therefore, it will be appreciated that the scope of this invention is tobe defined by the appended claims rather than by the specificembodiments that have been represented by way of example.

1. A bimetallic complex of formula I:

wherein: M is a metal atom; X is a nucleophile; n is an integer from 0to 2, inclusive each occurrence of L¹, L², Y¹, and Y² is independently—O—, —P(R′)₂—, ═NR′—, or —N(R′)₂—; each occurrence of

 is an optionally substituted moiety selected from the group consistingof C₂₋₁₂ aliphatic, C₇₋₁₂ arylalkyl; 6-10-membered aryl; 5-10-memberedheteroaryl having 1-4 heteroatoms independently selected from nitrogen,oxygen, or sulfur; and 4-7-membered heterocyclic having 1-2 heteroatomsindependently selected from the group consisting of nitrogen, oxygen,and sulfur; each occurrence of

 is an optionally substituted moiety selected from the group consistingof C₇₋₁₂ arylalkyl; 6-10-membered aryl; and 5-10-membered heteroarylhaving 1-4 heteroatoms independently selected from nitrogen, oxygen, orsulfur;

represents a single bond directly attached to an aryl or heteroaryl ringof each

each occurrence of R′ is hydrogen or an optionally substituted moietyselected from the group consisting of a C₃-C₁₄ carbocycle, a C₆-C₁₀ arylgroup, a C₃-C₁₄ heterocycle, and a C₅-C₁₀ heteroaryl group; or anoptionally substituted C₂₋₂₀ aliphatic group, wherein one or moremethylene units are optionally and independently replaced by —NR^(y)—,—N(R^(y))C(O)—, —C(O)N(R^(y))—, —OC(O)N(R^(y))—, —N(R^(y))C(O)O—,—OC(O)O—, —O—, —C(O)—, —OC(O)—, —C(O)O—, —S—, —SO—, —SO₂—, —C(═S)—,—C(═NR^(y))—, —C(═NOR^(y))— or —N═N—; or two R′ are taken together withtheir intervening atoms to form a monocyclic or bicyclic 5-12-memberedring; wherein a substituent may comprise one or more organic cations;and each occurrence of R^(y) is independently hydrogen or an optionallysubstituted C₁₋₆ aliphatic group.
 2. The bimetallic complex of claim 1,wherein M is a main group metal.
 3. The bimetallic complex of claim 1,wherein M is selected from the group consisting of a transition metalfrom group 5-12, inclusive, boron and aluminum.
 4. The bimetalliccomplex of claim 1, wherein M is selected from the lanthanides.
 5. Thebimetallic complex of claim 3, wherein M is selected from the groupconsisting of Cr, Mn, V, Fe, Co, Mo, W, Ru, Ti, Al, Zr, Hf, and Ni. 6.The bimetallic complex of claim 5, wherein M is Co.
 7. The bimetalliccomplex of any one of claims 1 to 6, wherein the complex contains anelement having axial chirality.
 8. The bimetallic complex of claim 7,wherein the element having axial chirality is contained in the portionof formula I having the formula:


9. The bimetallic complex of claim 7, wherein the axial chiralityresults from hindered rotation of the molecule about bond B1 indicatedin the formula:


10. The bimetallic complex of claim 1, wherein the complex is of formulaI-a:

wherein: each occurrence of Q is an optionally substituted moietyselected from the group consisting of a C₃-C₁₄ carbocycle, a C₆-C₁₀ arylgroup, a C₃-C₁₄ heterocycle, and a C₅-C₁₀ heteroaryl group; or anoptionally substituted C₂₋₂₀ aliphatic group, wherein one or moremethylene units are optionally and independently replaced by —NR^(y)—,—N(R^(y))C(O)—, —C(O)N(R^(y))—, —OC(O)N(R^(y))—, —N(R^(y))C(O)O—,—OC(O)O—, —O—, —C(O)—, —OC(O)—, —C(O)O—, —S—, —SO—, —SO₂—, —C(═S)—,—C(═NR^(y))—, —C(═NOR^(y))— or —N═N—; each occurrence of R^(y) isindependently hydrogen or an optionally substituted C₁₋₆ aliphaticgroup; each occurrence of R¹ and R² is independently hydrogen, halogen,—NO₂, —CN, —SR^(y), —S(O)R^(y), —S(O)₂R^(y), —NR^(y)C(O)R^(y),—OC(O)R^(y), —CO₂R^(y), —NCO, —N₃, —OR^(y), —OC(O)N(R^(y))₂, —N(R^(y))₂,—NR^(y)C(O)R^(y), —NR^(y)C(O)OR^(y); or an optionally substituted groupselected from the group consisting of C₁₋₁₂ aliphatic; C₁₋₁₂heteroaliphatic having 1-4 heteroatoms independently selected from thegroup consisting of nitrogen, oxygen, and sulfur; 6-10-membered aryl;5-10-membered heteroaryl having 1-4 heteroatoms independently selectedfrom nitrogen, oxygen, or sulfur; and 4-7-membered heterocyclic having1-2 heteroatoms independently selected from the group consisting ofnitrogen, oxygen, and sulfur; or R¹ and R² are taken together with theirintervening atoms to form an optionally substituted 4-14-memberedcarbocycle, an optionally substituted 4-14-membered heterocycle, anoptionally substituted 6-10-membered aryl group or an optionallysubstituted 5-10-membered heteroaryl group having 1-4 heteroatomsindependently selected from nitrogen, oxygen, or sulfur ring; and eachoccurrence of R³ and R⁴ is independently hydrogen, halogen, —NO₂, —CN,—SR^(y), —S(O)R^(y), —S(O)₂R^(Y), —NR^(y)C(O)R^(y), —OC(O)R^(y),—CO₂R^(y), —NCO, —N₃, —OR^(y), —OC(O)N(R^(y))₂, —N(R^(y))₂,—NR^(y)C(O)R, —NR^(y)C(O)OR^(y); or an optionally substituted groupselected from the group consisting of C₁₋₁₂ aliphatic; C₁₋₁₂heteroaliphatic having 1-4 heteroatoms independently selected from thegroup consisting of nitrogen, oxygen, and sulfur; 6-10-membered aryl;5-10-membered heteroaryl having 1-4 heteroatoms independently selectedfrom nitrogen, oxygen, or sulfur; and 4-7-membered heterocyclic having1-2 heteroatoms independently selected from the group consisting ofnitrogen, oxygen, and sulfur.
 11. The bimetallic complex of claim 1,wherein the complex is of formula I-b:

wherein: each occurrence of Q is an optionally substituted moietyselected from the group consisting of a C₃-C₁₄ carbocycle, a C₆-C₁₀ arylgroup, a C₃-C₁₄ heterocycle, and a C₅-C₁₀ heteroaryl group; or anoptionally substituted C₂₋₂₀ aliphatic group, wherein one or moremethylene units are optionally and independently replaced by —NR^(y)—,—N(R^(y))C(O)—, —C(O)N(R^(y))—, —OC(O)N(R^(y))—, —N(R^(y))C(O)O—,—OC(O)O—, —O—, —C(O)—, —OC(O)—, —C(O)O—, —S—, —SO—, —SO₂—, —C(═S)—,—C(═NR^(y))—, —C(═NOR^(y))— or —N═N—; each occurrence of R^(y) isindependently hydrogen or an optionally substituted C₁₋₆ aliphaticgroup; and each occurrence of R⁵, R^(5a), and R^(5b) is independentlyhydrogen, halogen, —NO₂, —CN, —SR^(y), —S(O)R^(y), —S(O)₂R^(y),—NR^(y)C(O)R^(y), —OC(O)R^(y), —CO₂R^(y), —NCO, —N₃, —OR^(y),—OC(O)N(R^(y))₂, —N(R^(y))₂, —NR^(y)C(O)R^(y), —NR^(y)C(O)OR^(y); or anoptionally substituted group selected from the group consisting of C₁₋₁₂aliphatic; C₁₋₁₂ heteroaliphatic having 1-4 heteroatoms independentlyselected from the group consisting of nitrogen, oxygen, and sulfur;6-10-membered aryl; 5-10-membered heteroaryl having 1-4 heteroatomsindependently selected from nitrogen, oxygen, or sulfur; and4-7-membered heterocyclic having 1-2 heteroatoms independently selectedfrom the group consisting of nitrogen, oxygen, and sulfur; whereinadjacent R⁵, R^(5a), or R^(5b) groups can be taken together to form anoptionally substituted saturated, partially unsaturated, or aromatic 5-to 12-membered ring containing 0 to 4 heteroatoms.
 12. The bimetalliccomplex of claim 1, wherein the complex is of formula I-c:

wherein: each occurrence of Q is an optionally substituted moietyselected from the group consisting of a C₃-C₁₄ carbocycle, a C₆-C₁₀ arylgroup, a C₃-C₁₄ heterocycle, and a C₅-C₁₀ heteroaryl group; or anoptionally substituted C₂₋₂₀ aliphatic group, wherein one or moremethylene units are optionally and independently replaced by —NR^(y)—,—N(R^(y))C(O)—, —C(O)N(R^(y))—, —OC(O)N(R^(y))—, —N(R^(y))C(O)O—,—OC(O)O—, —O—, —C(O)—, —OC(O)—, —C(O)O—, —S—, —SO—, —SO₂—, —C(═S)—,—C(═NR^(y))—, —C(═NOR^(y))— or —N═N—; each occurrence of R^(y) isindependently hydrogen or an optionally substituted C₁₋₆ aliphaticgroup; each occurrence of R⁵, R⁶, R⁷, R⁸, and R⁹ is independentlyhydrogen, halogen, —NO₂, —CN, —SR^(y), —S(O)R^(y), —S(O)₂R^(y),—NR^(y)C(O)R^(y), —OC(O)R^(y), —CO₂R^(y), —NCO, —N₃, —OR^(y),—OC(O)N(R^(y))₂, —N(R^(y))₂, —NR^(y)C(O)R^(y), —NR^(y)C(O)OR^(y); or anoptionally substituted group selected from the group consisting of C₁₋₁₂aliphatic; C₁₋₁₂ heteroaliphatic having 1-4 heteroatoms independentlyselected from the group consisting of nitrogen, oxygen, and sulfur;6-10-membered aryl; 5-10-membered heteroaryl having 1-4 heteroatomsindependently selected from nitrogen, oxygen, or sulfur; and4-7-membered heterocyclic having 1-2 heteroatoms independently selectedfrom the group consisting of nitrogen, oxygen, and sulfur; whereinadjacent R⁶, R⁷, R⁸, or R⁹ groups can be taken together to form anoptionally substituted saturated, partially unsaturated, or aromatic 5-to 12-membered ring containing 0 to 4 heteroatoms.
 13. The bimetalliccomplex of claim 1, wherein the complex is of formula II:

wherein: each occurrence of Q is an optionally substituted moietyselected from the group consisting of a C₃-C₁₄ carbocycle, a C₆-C₁₀ arylgroup, a C₃-C₁₄ heterocycle, and a C₅-C₁₀ heteroaryl group; or anoptionally substituted C₂₋₂₀ aliphatic group, wherein one or moremethylene units are optionally and independently replaced by —NR^(y)—,—N(R^(y))C(O)—, —C(O)N(R^(y))—, —OC(O)N(R^(y))—, —N(R^(y))C(O)O—,—OC(O)O—, —O—, —C(O)—, —OC(O)—, —C(O)O—, —S—, —SO—, —SO₂—, —C(═S)—,—C(═NR^(y))—, —C(═NOR^(y))— or —N═N—; each occurrence of R^(y) isindependently hydrogen or an optionally substituted C₁₋₆ aliphaticgroup; each occurrence of R¹ and R² is independently hydrogen, halogen,—NO₂, —CN, —SR^(y), —S(O)R^(y), —S(O)₂R^(Y), —NR^(y)C(O)R^(y),—OC(O)R^(y), —CO₂R^(y), —NCO, —N₃, —OR^(y), —OC(O)N(R^(y))₂, —N(R^(y))₂,—NR^(y)C(O)R^(y), —NR^(y)C(O)OR^(y); or an optionally substituted groupselected from the group consisting of C₁₋₁₂ aliphatic; C₁₋₁₂heteroaliphatic having 1-4 heteroatoms independently selected from thegroup consisting of nitrogen, oxygen, and sulfur; 6-10-membered aryl;5-10-membered heteroaryl having 1-4 heteroatoms independently selectedfrom nitrogen, oxygen, or sulfur; and 4-7-membered heterocyclic having1-2 heteroatoms independently selected from the group consisting ofnitrogen, oxygen, and sulfur; or R¹ and R² are taken together with theirintervening atoms to form an optionally substituted 4-14-memberedcarbocycle, an optionally substituted 4-14-membered heterocycle, anoptionally substituted 6-10-membered aryl group or an optionallysubstituted 5-10-membered heteroaryl group having 1-4 heteroatomsindependently selected from nitrogen, oxygen, or sulfur ring; and eachoccurrence of R³, R⁴, R⁵, R⁶, R⁷, R⁸, and R⁹ is independently hydrogen,halogen, —NO₂, —CN, —SR^(y), —S(O)R^(y), —S(O)₂R^(y), —NR^(y)C(O)R^(y),—OC(O)R^(y), —CO₂R^(y), —NCO, —N₃, —OR^(y), —OC(O)N(R^(Y))₂, —N(R^(y))₂,—NR^(y)C(O)R^(y), —NR^(y)C(O)OR^(y); or an optionally substituted groupselected from the group consisting of C₁₋₁₂ aliphatic; C₁₋₁₂heteroaliphatic having 1-4 heteroatoms independently selected from thegroup consisting of nitrogen, oxygen, and sulfur; 6-10-membered aryl;5-10-membered heteroaryl having 1-4 heteroatoms independently selectedfrom nitrogen, oxygen, or sulfur; and 4-7-membered heterocyclic having1-2 heteroatoms independently selected from the group consisting ofnitrogen, oxygen, and sulfur; wherein adjacent R⁶, R⁷, R⁸, or R⁹ groupscan be taken together to form an optionally substituted saturated,partially unsaturated, or aromatic 5- to 12-membered ring containing 0to 4 heteroatoms.
 14. The bimetallic complex of claim 13, wherein M isCo.
 15. The bimetallic complex of claim 1 or 13, wherein n is
 0. 16. Thebimetallic complex of claim 1 or 13, wherein n is
 1. 17. The bimetalliccomplex of claim 1 or 13, wherein n is
 2. 18. The bimetallic complex ofclaim 1 or 13, wherein X is halogen.
 19. The bimetallic complex of claim18, wherein X is Cl.
 20. The bimetallic complex of claim 13, wherein Qis optionally substituted C₅₋₁₀ aliphatic.
 21. The bimetallic complex ofclaim 20, wherein Q is optionally substituted C₆₋₈ aliphatic.
 22. Thebimetallic complex of claim 21, wherein Q is optionally substituted1,2-cyclohexyl.
 23. The bimetallic complex of claim 22, wherein Q is(R,R)-1,2-cyclohexyl when the bond between the biaryl linkage is of Schirality.
 24. The bimetallic complex of claim 22, wherein Q is(S,S)-1,2-cyclohexyl when the bond between the biaryl linkage is of Rchirality.
 25. The bimetallic complex of claim 13, wherein R¹ and R² aretaken together with their intervening atoms to form a 6-10-membered arylgroup, 4-14-membered carbocycle, or 5-10-membered heteroaryl grouphaving 1-4 heteroatoms independently selected from nitrogen, oxygen, orsulfur ring.
 26. The bimetallic complex of claim 25, wherein R¹ and R²are taken together with their intervening atoms to form a 6-10-memberedaryl ring.
 27. The bimetallic complex of claim 26, wherein R¹ and R² aretaken together with their intervening atoms to form a 6-membered arylring.
 28. The bimetallic complex of claim 27, wherein R¹ and R² aretaken together with their intervening atoms to form:


29. The bimetallic complex of claim 25, wherein R¹ and R² are takentogether with their intervening atoms to form:


30. The bimetallic complex of claim 13, wherein each of R³, R⁴, R⁵, R⁶,and R⁸ is hydrogen.
 31. The bimetallic complex of claim 13, wherein eachof R³, R⁴, R⁵, R⁶, R⁷, R⁸, and R⁹ is hydrogen.
 32. The bimetalliccomplex of claim 13, wherein one or more of R³, R⁴, R⁵, R⁶, R⁷, R⁸, andR⁹ is substituted with an organic cation.
 33. The bimetallic complex ofclaim 32, wherein the organic cation is a quaternary ammonium group. 34.The bimetallic complex of claim 32, wherein each organic cation iscomplexed with X, wherein X is a nucleophile.
 35. The bimetallic complexof claim 34, wherein X is 2,4-dinitrophenolate anion.
 36. The bimetalliccomplex of claim 13, wherein R⁷ and R⁹ are independently optionallysubstituted groups selected from the group consisting of C₁₋₁₂ aliphaticand C₁₋₁₂ heteroaliphatic having 1-4 heteroatoms independently selectedfrom the group consisting of nitrogen, oxygen, and sulfur.
 37. Thebimetallic complex of claim 36, wherein R⁷ and R⁹ are independently anoptionally substituted C₁₋₆ aliphatic group.
 38. The bimetallic complexof claim 37, wherein R⁷ and R⁹ are t-butyl.
 39. The bimetallic complexof claim 1 or 13, wherein the complex is racemic.
 40. The bimetalliccomplex of claim 1 or 13, wherein the complex is non-racemic.
 41. Thebimetallic complex of claim 1 or 13, wherein the complex possesses axialsymmetry.
 42. The bimetallic complex of claim 1 or 13, wherein thecomplex is a catalyst.
 43. The bimetallic complex of claim 13, whereinthe complex is of formula II-a:


44. The bimetallic complex of claim 43, wherein the complex is offormula II-b:


45. The bimetallic complex of claim 43, wherein the complex is selectedfrom:


46. The bimetallic complex of claim 13, wherein the complex is offormula II-c:


47. A polymer of formula:

wherein: R^(a) is an optionally substituted group selected from thegroup consisting of C₁₋₁₂ aliphatic; C₁₋₁₂ heteroaliphatic having 1-4heteroatoms independently selected from the group consisting ofnitrogen, oxygen, and sulfur; 6-10-membered aryl; 5-10-memberedheteroaryl having 1-4 heteroatoms independently selected from nitrogen,oxygen, or sulfur; and 4-7-membered heterocyclic having 1-2 heteroatomsindependently selected from the group consisting of nitrogen, oxygen,and sulfur; and each of R^(b) and R^(c) is independently hydrogen or anoptionally substituted group selected from the group consisting of C₁₋₁₂aliphatic; C₁₋₁₂ heteroaliphatic having 1-4 heteroatoms independentlyselected from the group consisting of nitrogen, oxygen, and sulfur;6-10-membered aryl; 5-10-membered heteroaryl having 1-4 heteroatomsindependently selected from nitrogen, oxygen, or sulfur; and4-7-membered heterocyclic having 1-2 heteroatoms independently selectedfrom the group consisting of nitrogen, oxygen, and sulfur; wherein anyof (R^(a) and R^(c)), (R^(b) and R^(c)), and (R^(a) and R^(b)) can betaken together with their intervening atoms to form one or more ringsselected from the group consisting of: optionally substituted C₃-C₁₄carbocycle, optionally substituted C₃-C₁₄ heterocycle, optionallysubstituted C₆-C₁₀ aryl, and optionally substituted C₅-C₁₀ heteroaryl;wherein the enantiomeric excess of the polymer is greater than 90%. 48.The polymer of claim 47, wherein the polymer comprises a copolymer oftwo different repeating units where R^(a), R^(b), and R^(c) of the twodifferent repeating units are not all the same.
 49. The polymer of claim47, wherein the polymer comprises a copolymer of three or more differentrepeating units wherein R^(a), R^(b), and R^(c) of each of the differentrepeating units are not all the same as R^(a), R^(b), and R^(c) of anyof the other different repeating units.
 50. The polymer of any one ofclaims 47 to 49, wherein the polymer is a random copolymer.
 51. Thepolymer of any one of claims 47 to 49, wherein the polymer is a taperedcopolymer.
 52. The polymer of any one of claims 47 to 49, wherein thepolymer is a block copolymer.
 53. The polymer of claim 47, containing abimetallic complex of claim
 1. 54. The polymer of claim 47, comprisingresidue of a bimetallic complex of claim
 1. 55. The polymer of claim 54,further comprising salt of an organic cation and X.
 56. The polymer ofclaim 47, wherein R^(c) is hydrogen.
 57. The polymer of claim 47,wherein R^(b) is hydrogen.
 58. The polymer of claim 47, wherein R^(ip)and R^(c) are both hydrogen.
 59. The polymer of claim 58, wherein R^(a)is optionally substituted C₁₋₁₂ aliphatic.
 60. The polymer of claim 58,wherein R^(a) is optionally substituted C₁₋₁₂ heteroaliphatic having 1-4heteroatoms independently selected from the group consisting ofnitrogen, oxygen, and sulfur.
 61. The polymer of claim 58, wherein R^(a)is optionally substituted 6-10-membered aryl.
 62. The polymer of claim58, wherein R^(a) is optionally substituted 5-10-membered heteroarylhaving 1-4 heteroatoms independently selected from nitrogen, oxygen, orsulfur.
 63. The polymer of claim 58, wherein R^(a) is selected frommethyl, ethyl, propyl, butyl, vinyl, allyl, phenyl, trifluoromethyl,

or any two or more of the above.
 64. The polymer of claim 63, whereinR^(a) is trifluoromethyl.
 65. The polymer of claim 63, wherein R^(a) is


66. The polymer of any one of claims 47 to 65, wherein the enantiomericexcess of a polymer chain comprising the polymer decreases from one endof the polymer chain to the other end of the polymer chain.
 67. Thepolymer of claim 66 wherein the decrease in the enantiomeric excess fromone end of the polymer to the second end of the polymer is gradual. 68.The polymer of any one of claims 47 to 65, wherein the enantiomericexcess of the polymer is greater than 95%.
 69. The polymer of claim 68,wherein the enantiomeric excess of the polymer is greater than 97%. 70.The polymer of claim 69, wherein the enantiomeric excess of the polymeris greater than 98%.
 71. The polymer of claim 70, wherein theenantiomeric excess of the polymer is greater than 99%.
 72. A polymer offormula:

wherein: R^(a) is an optionally substituted group selected from thegroup consisting of C₁₋₁₂ aliphatic; C₁₋₁₂ heteroaliphatic having 1-4heteroatoms independently selected from the group consisting ofnitrogen, oxygen, and sulfur; 6-10-membered aryl; 5-10-memberedheteroaryl having 1-4 heteroatoms independently selected from nitrogen,oxygen, or sulfur; and 4-7-membered heterocyclic having 1-2 heteroatomsindependently selected from the group consisting of nitrogen, oxygen,and sulfur; and each of R^(b) and R^(c) is independently hydrogen or anoptionally substituted group selected from the group consisting of C₁₋₁₂aliphatic; C₁₋₁₂ heteroaliphatic having 1-4 heteroatoms independentlyselected from the group consisting of nitrogen, oxygen, and sulfur;6-10-membered aryl; 5-10-membered heteroaryl having 1-4 heteroatomsindependently selected from nitrogen, oxygen, or sulfur; and4-7-membered heterocyclic having 1-2 heteroatoms independently selectedfrom the group consisting of nitrogen, oxygen, and sulfur; wherein anyof (R^(a) and R^(c)), (R^(b) and R^(c)), and (R^(a) and R^(b)) can betaken together with their intervening atoms to form one or more ringsselected from the group consisting of: optionally substituted C₃-C₁₄carbocycle, optionally substituted C₃-C₁₄ heterocycle, optionallysubstituted C₆-C₁₀ aryl, and optionally substituted C₅-C₁₀ heteroaryl;wherein the isotacticity of the polymer is greater than 90%.
 73. Thepolymer of any one of claims 47 to 65, wherein the isotacticity of apolymer chain comprising the polymer is greater near one end of thepolymer chain than near the other end of the polymer chain.
 74. Thepolymer of any one of claims 47 to 65, wherein the isotacticity of apolymer chain comprising the polymer decreases from one end of thepolymer chain to the other end of the polymer chain.
 75. The polymer ofany one of claims 47 to 65, wherein the polymer is optically inactivewith m-dyad content greater than 80%.
 76. The polymer of any one ofclaims 47 to 65, wherein the polymer is optically inactive with m-dyadcontent greater than 90%.
 77. The polymer of any one of claims 47 to 65,wherein the polymer is optically inactive with m-dyad content greaterthan 95%.
 78. The polymer of any one of claims 47 to 65, wherein thepolymer is optically inactive with m-dyad content greater than 99%. 79.A method of polymerization, the method comprising: a) providing aprochiral epoxide of formula:

wherein: R^(a) is an optionally substituted group selected from thegroup consisting of C₁₋₁₂ aliphatic; C₁₋₁₂ heteroaliphatic having 1-4heteroatoms independently selected from the group consisting ofnitrogen, oxygen, and sulfur; 6-10-membered aryl; 5-10-memberedheteroaryl having 1-4 heteroatoms independently selected from nitrogen,oxygen, or sulfur; and 4-7-membered heterocyclic having 1-2 heteroatomsindependently selected from the group consisting of nitrogen, oxygen,and sulfur; and each of R^(b) and R^(c) is independently hydrogen or anoptionally substituted group selected from the group consisting of C₁₋₁₂aliphatic; C₁₋₁₂ heteroaliphatic having 1-4 heteroatoms independentlyselected from the group consisting of nitrogen, oxygen, and sulfur;6-10-membered aryl; 5-10-membered heteroaryl having 1-4 heteroatomsindependently selected from nitrogen, oxygen, or sulfur; and4-7-membered heterocyclic having 1-2 heteroatoms independently selectedfrom the group consisting of nitrogen, oxygen, and sulfur; wherein anyof (R^(a) and R^(c)), (R^(b) and R^(c)), and (R^(a) and R^(b)) can betaken together with their intervening atoms to form one or more ringsselected from the group consisting of: optionally substituted C₃-C₁₄carbocycle, optionally substituted C₃-C₁₄ heterocycle, optionallysubstituted C₆-C₁₀ aryl, and optionally substituted C₅-C₁₀ heteroaryl;and b) treating the epoxide with a bimetallic catalyst under suitableconditions to form a polymer of formula:


80. The method of claim 79, wherein the bimetallic catalyst is abimetallic complex of any one of claims 1 to
 46. 81. The method of claim79, further comprising a step, after step (a), of adding at least oneadditional epoxide having the formula

wherein each of the additional epoxide has a structure different fromthe structure of the epoxide provided in step (a) such that the polymerformed in step (b) is a co-polymer of two or more epoxides.
 82. Themethod of claim 79, wherein the bimetallic catalyst is of formula II:

wherein: M is a main group metal; each occurrence of Q is an optionallysubstituted moiety selected from the group consisting of a C₃-C₁₄carbocycle, a C₆-C₁₀ aryl group, a C₃-C₁₄ heterocycle, and a C₅-C₁₀heteroaryl group; or an optionally substituted C₂₋₂₀ aliphatic group,wherein one or more methylene units are optionally and independentlyreplaced by —NR^(y)—, —N(R^(y))C(O)—, —C(O)N(R^(y))—, —OC(O)N(R^(y))—,—N(R^(y))C(O)O—, —OC(O)O—, —O—, —C(O)—, —OC(O)—, —C(O)O—, —S—, —SO—,—SO₂—, —C(═S)—, —C(═NR^(y))—, —C(═NOR^(y))— or —N═N—; each occurrence ofR^(y) is independently hydrogen or an optionally substituted C₁₋₆aliphatic group; each occurrence of R¹ and R² is independently hydrogen,halogen, —NO₂, —CN, —SR^(y), —S(O)R^(y), —S(O)₂R^(y), —NR^(y)C(O)R^(y),—OC(O)R^(y), —CO₂R^(y), —NCO, —N₃, —OR^(y), —OC(O)N(R^(y))₂, —N(R^(y))₂,—NR^(y)C(O)R^(y), —NR^(y)C(O)OR^(y); or an optionally substituted groupselected from the group consisting of C₁₋₁₂ aliphatic; C₁₋₁₂heteroaliphatic having 1-4 heteroatoms independently selected from thegroup consisting of nitrogen, oxygen, and sulfur; 6-10-membered aryl;5-10-membered heteroaryl having 1-4 heteroatoms independently selectedfrom nitrogen, oxygen, or sulfur; and 4-7-membered heterocyclic having1-2 heteroatoms independently selected from the group consisting ofnitrogen, oxygen, and sulfur; or R¹ and R² are taken together with theirintervening atoms to form an optionally substituted 4-14-memberedcarbocycle, an optionally substituted 4-14-membered heterocycle, anoptionally substituted 6-10-membered aryl group or an optionallysubstituted 5-10-membered heteroaryl group having 1-4 heteroatomsindependently selected from nitrogen, oxygen, or sulfur ring; and eachoccurrence of R³, R⁴, R⁵, R⁶, R⁷, R⁸, and R⁹ is independently hydrogen,halogen, —NO₂, —CN, —SR^(y), —S(O)R^(y), —S(O)₂R^(y), —NR^(y)C(O)R^(y),—OC(O)R^(y), —CO₂R^(y), —NCO, —N₃, —OR^(y), —OC(O)N(R^(y))₂, —N(R^(y))₂,—NR^(y)C(O)R^(y), —NR^(y)C(O)OR^(y); or an optionally substituted groupselected from the group consisting of C₁₋₁₂ aliphatic; C₁₋₁₂heteroaliphatic having 1-4 heteroatoms independently selected from thegroup consisting of nitrogen, oxygen, and sulfur; 6-10-membered aryl;5-10-membered heteroaryl having 1-4 heteroatoms independently selectedfrom nitrogen, oxygen, or sulfur; and 4-7-membered heterocyclic having1-2 heteroatoms independently selected from the group consisting ofnitrogen, oxygen, and sulfur; wherein adjacent R⁶, R⁷, R⁸, or R⁹ groupscan be taken together to form an optionally substituted saturated,partially unsaturated, or aromatic 5- to 12-membered ring containing 0to 4 heteroatoms.
 83. The method of claim 82, wherein n is
 0. 84. Themethod of claim 82, wherein n is
 1. 85. The method of claim 82, whereinn is
 2. 86. The method of claim 82, wherein X is halogen.
 87. The methodof claim 82, wherein X is Cl.
 88. The method of claim 79, whereinsuitable conditions comprise one or more co-catalysts.
 89. The method ofclaim 88, wherein the co-catalyst is selected from the group consistingof an amine, a phosphonium salt, an ammonium salt, an arsonium salt, anda combination of any two or more of the above.
 90. The method of claim88, wherein the co-catalyst is PPN-X, where X is a nucleophile.
 91. Themethod of claim 90, wherein the co-catalyst is PPNOAc.
 92. The method ofclaim 79 or 82, wherein the enantiomeric excess of the polymer isgreater than 90%.
 93. The method of claim 79 or 82, wherein theenantiomeric excess of the polymer is greater than 95%.
 94. The methodof claim 79 or 82, wherein the enantiomeric excess of the polymer isgreater than 97%.
 95. The method of claim 79 or 82, wherein theenantiomeric excess of the polymer is greater than 98%.
 96. The methodof claim 79 or 82, wherein the enantiomeric excess of the polymer isgreater than 99%.
 97. The method of claim 79 or 82, wherein thepolymerization is enantioselective.
 98. The method of claim 79 or 82,wherein the method is a kinetic resolution.
 99. The method of claim 79or 82, wherein the polymerization is living.
 100. The method of any oneof claims 79 to 99, further comprising the step of recovering unreactedepoxide, wherein the recovered epoxide is enantiomerically enriched.101. The method of claim 100, wherein the enantiomeric excess of therecovered epoxide is greater than 50%.
 102. The method of claim 100,wherein the enantiomeric excess of the recovered epoxide is greater than75%.
 103. The method of claim 100, wherein the enantiomeric excess ofthe recovered epoxide is greater than 90%.
 104. The method of claim 100,wherein the enantiomeric excess of the recovered epoxide is greater than95%.
 105. The method of claim 100, wherein the enantiomeric excess ofthe recovered epoxide is greater than 97%.
 106. The method of claim 100,wherein the enantiomeric excess of the recovered epoxide is greater than98%.
 107. The method of claim 100, wherein the enantiomeric excess ofthe recovered epoxide is greater than 99%.
 108. A material suitable forfood packaging comprising a polymer of any one of claims 47 to
 78. 109.An oil resistant material comprising a polymer of any one of claims 47to
 78. 110. A material suitable for electronics casing comprising apolymer of any one of claims 47 to
 78. 111. A material suitable forpackaging consumer goods comprising a polymer of any one of claims 47 to78.
 112. The material of any one of claims 108 to 111, wherein thematerial is a film.
 113. A material suitable for chiral chromatographicmedia comprising a polymer of any one of claims 47 to
 78. 114. Amaterial suitable for polymeric reagents comprising a polymer of any oneof claims 47 to
 78. 115. A material suitable for polymeric catalystscomprising a polymer of any one of claims 47 to
 78. 116. The material ofany one of claims 108 to 111, wherein the material is extruded.
 117. Thematerial of any one of claims 108 to 111, wherein the material isthermoformed.